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Finding the Fourth Proportional to 31,831.76, 47,744.40 and 8,460.02

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Solution

The fourth proportional to 31,831.76, 47,744.40 and 8,460.02 is: 12,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.76 : 47,744.40 = 8,460.02 : x
  2. Step 2: Convert to fraction form
    31,831.76/47,744.40 = 8,460.02/x
  3. Step 3: Cross multiply
    31,831.76x = 47,744.40 × 8,460.02
  4. Step 4: Simplify right side
    31,831.76x = 403,918,578.89
  5. Step 5: Solve for x
    x = 403,918,578.89/31,831.76
  6. Step 6: Final answer
    x = 12,689.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.