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Finding the Fourth Proportional to 12,706.86, 17,534.99 and 7,329.53

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Solution

The fourth proportional to 12,706.86, 17,534.99 and 7,329.53 is: 10,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.86 : 17,534.99 = 7,329.53 : x
  2. Step 2: Convert to fraction form
    12,706.86/17,534.99 = 7,329.53/x
  3. Step 3: Cross multiply
    12,706.86x = 17,534.99 × 7,329.53
  4. Step 4: Simplify right side
    12,706.86x = 128,523,198.78
  5. Step 5: Solve for x
    x = 128,523,198.78/12,706.86
  6. Step 6: Final answer
    x = 10,114.47

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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.