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Finding the Fourth Proportional to 1,534.34, 2,117.07 and 871.05

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Solution

The fourth proportional to 1,534.34, 2,117.07 and 871.05 is: 1,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.34 : 2,117.07 = 871.05 : x
  2. Step 2: Convert to fraction form
    1,534.34/2,117.07 = 871.05/x
  3. Step 3: Cross multiply
    1,534.34x = 2,117.07 × 871.05
  4. Step 4: Simplify right side
    1,534.34x = 1,844,081.76
  5. Step 5: Solve for x
    x = 1,844,081.76/1,534.34
  6. Step 6: Final answer
    x = 1,201.87

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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.