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Finding the Fourth Proportional to 12,712.68, 17,542.98 and 7,407.72

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Solution

The fourth proportional to 12,712.68, 17,542.98 and 7,407.72 is: 10,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.68 : 17,542.98 = 7,407.72 : x
  2. Step 2: Convert to fraction form
    12,712.68/17,542.98 = 7,407.72/x
  3. Step 3: Cross multiply
    12,712.68x = 17,542.98 × 7,407.72
  4. Step 4: Simplify right side
    12,712.68x = 129,953,483.81
  5. Step 5: Solve for x
    x = 129,953,483.81/12,712.68
  6. Step 6: Final answer
    x = 10,222.35

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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.