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Finding the Fourth Proportional to 12,731, 17,569.05 and 7,142

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Solution

The fourth proportional to 12,731, 17,569.05 and 7,142 is: 9,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731 : 17,569.05 = 7,142 : x
  2. Step 2: Convert to fraction form
    12,731/17,569.05 = 7,142/x
  3. Step 3: Cross multiply
    12,731x = 17,569.05 × 7,142
  4. Step 4: Simplify right side
    12,731x = 125,478,155.10
  5. Step 5: Solve for x
    x = 125,478,155.10/12,731
  6. Step 6: Final answer
    x = 9,856.11

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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.