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Finding the Fourth Proportional to 16,981.40, 25,472.10 and 9,205.40

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Solution

The fourth proportional to 16,981.40, 25,472.10 and 9,205.40 is: 13,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,981.40 : 25,472.10 = 9,205.40 : x
  2. Step 2: Convert to fraction form
    16,981.40/25,472.10 = 9,205.40/x
  3. Step 3: Cross multiply
    16,981.40x = 25,472.10 × 9,205.40
  4. Step 4: Simplify right side
    16,981.40x = 234,480,869.34
  5. Step 5: Solve for x
    x = 234,480,869.34/16,981.40
  6. Step 6: Final answer
    x = 13,808.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.