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Finding the Fourth Proportional to 12,920.92, 17,831.42 and 7,332.44

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Solution

The fourth proportional to 12,920.92, 17,831.42 and 7,332.44 is: 10,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.92 : 17,831.42 = 7,332.44 : x
  2. Step 2: Convert to fraction form
    12,920.92/17,831.42 = 7,332.44/x
  3. Step 3: Cross multiply
    12,920.92x = 17,831.42 × 7,332.44
  4. Step 4: Simplify right side
    12,920.92x = 130,747,817.26
  5. Step 5: Solve for x
    x = 130,747,817.26/12,920.92
  6. Step 6: Final answer
    x = 10,119.08

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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.