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Finding the Fourth Proportional to 1,500.54, 2,070.38 and 911.06

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Solution

The fourth proportional to 1,500.54, 2,070.38 and 911.06 is: 1,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.54 : 2,070.38 = 911.06 : x
  2. Step 2: Convert to fraction form
    1,500.54/2,070.38 = 911.06/x
  3. Step 3: Cross multiply
    1,500.54x = 2,070.38 × 911.06
  4. Step 4: Simplify right side
    1,500.54x = 1,886,240.40
  5. Step 5: Solve for x
    x = 1,886,240.40/1,500.54
  6. Step 6: Final answer
    x = 1,257.04

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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.