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Finding the Fourth Proportional to 12,715.08, 17,545.86 and 7,125

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Solution

The fourth proportional to 12,715.08, 17,545.86 and 7,125 is: 9,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.08 : 17,545.86 = 7,125 : x
  2. Step 2: Convert to fraction form
    12,715.08/17,545.86 = 7,125/x
  3. Step 3: Cross multiply
    12,715.08x = 17,545.86 × 7,125
  4. Step 4: Simplify right side
    12,715.08x = 125,014,252.50
  5. Step 5: Solve for x
    x = 125,014,252.50/12,715.08
  6. Step 6: Final answer
    x = 9,831.97

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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.