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Finding the Fourth Proportional to 20,988.88, 31,463.87 and 7,831.24

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Solution

The fourth proportional to 20,988.88, 31,463.87 and 7,831.24 is: 11,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988.88 : 31,463.87 = 7,831.24 : x
  2. Step 2: Convert to fraction form
    20,988.88/31,463.87 = 7,831.24/x
  3. Step 3: Cross multiply
    20,988.88x = 31,463.87 × 7,831.24
  4. Step 4: Simplify right side
    20,988.88x = 246,401,117.30
  5. Step 5: Solve for x
    x = 246,401,117.30/20,988.88
  6. Step 6: Final answer
    x = 11,739.60

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1.5x scale

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.