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Finding the Fourth Proportional to 1,502.57, 2,073.92 and 913.61

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Solution

The fourth proportional to 1,502.57, 2,073.92 and 913.61 is: 1,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.57 : 2,073.92 = 913.61 : x
  2. Step 2: Convert to fraction form
    1,502.57/2,073.92 = 913.61/x
  3. Step 3: Cross multiply
    1,502.57x = 2,073.92 × 913.61
  4. Step 4: Simplify right side
    1,502.57x = 1,894,754.67
  5. Step 5: Solve for x
    x = 1,894,754.67/1,502.57
  6. Step 6: Final answer
    x = 1,261.01

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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.