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Finding the Fourth Proportional to 29,689.75, 40,972.13 and 20,258.11

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Solution

The fourth proportional to 29,689.75, 40,972.13 and 20,258.11 is: 27,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.75 : 40,972.13 = 20,258.11 : x
  2. Step 2: Convert to fraction form
    29,689.75/40,972.13 = 20,258.11/x
  3. Step 3: Cross multiply
    29,689.75x = 40,972.13 × 20,258.11
  4. Step 4: Simplify right side
    29,689.75x = 830,017,916.47
  5. Step 5: Solve for x
    x = 830,017,916.47/29,689.75
  6. Step 6: Final answer
    x = 27,956.38

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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.