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Finding the Fourth Proportional to 1,500.75, 2,070.75 and 871.23

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Solution

The fourth proportional to 1,500.75, 2,070.75 and 871.23 is: 1,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.75 : 2,070.75 = 871.23 : x
  2. Step 2: Convert to fraction form
    1,500.75/2,070.75 = 871.23/x
  3. Step 3: Cross multiply
    1,500.75x = 2,070.75 × 871.23
  4. Step 4: Simplify right side
    1,500.75x = 1,804,091.76
  5. Step 5: Solve for x
    x = 1,804,091.76/1,500.75
  6. Step 6: Final answer
    x = 1,202.13

Related Problems

Find fourth proportional to 750.38, 1,035.38 and 435.61
Half scale
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Double scale
Find fourth proportional to 1,501.75, 2,072.13 and 872.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.