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Finding the Fourth Proportional to 13,706.40, 20,547 and 4,939.17

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Solution

The fourth proportional to 13,706.40, 20,547 and 4,939.17 is: 7,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.40 : 20,547 = 4,939.17 : x
  2. Step 2: Convert to fraction form
    13,706.40/20,547 = 4,939.17/x
  3. Step 3: Cross multiply
    13,706.40x = 20,547 × 4,939.17
  4. Step 4: Simplify right side
    13,706.40x = 101,485,125.99
  5. Step 5: Solve for x
    x = 101,485,125.99/13,706.40
  6. Step 6: Final answer
    x = 7,404.21

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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.