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Finding the Fourth Proportional to 9,976, 13,762.56 and 6,831.04

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Solution

The fourth proportional to 9,976, 13,762.56 and 6,831.04 is: 9,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976 : 13,762.56 = 6,831.04 : x
  2. Step 2: Convert to fraction form
    9,976/13,762.56 = 6,831.04/x
  3. Step 3: Cross multiply
    9,976x = 13,762.56 × 6,831.04
  4. Step 4: Simplify right side
    9,976x = 94,012,597.86
  5. Step 5: Solve for x
    x = 94,012,597.86/9,976
  6. Step 6: Final answer
    x = 9,423.88

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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.