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Finding the Fourth Proportional to 12,712.53, 17,543.10 and 7,047.28

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Solution

The fourth proportional to 12,712.53, 17,543.10 and 7,047.28 is: 9,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.53 : 17,543.10 = 7,047.28 : x
  2. Step 2: Convert to fraction form
    12,712.53/17,543.10 = 7,047.28/x
  3. Step 3: Cross multiply
    12,712.53x = 17,543.10 × 7,047.28
  4. Step 4: Simplify right side
    12,712.53x = 123,631,137.77
  5. Step 5: Solve for x
    x = 123,631,137.77/12,712.53
  6. Step 6: Final answer
    x = 9,725.14

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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.