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Finding the Fourth Proportional to 9,661.76, 13,337.76 and 6,831.52

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Solution

The fourth proportional to 9,661.76, 13,337.76 and 6,831.52 is: 9,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.76 : 13,337.76 = 6,831.52 : x
  2. Step 2: Convert to fraction form
    9,661.76/13,337.76 = 6,831.52/x
  3. Step 3: Cross multiply
    9,661.76x = 13,337.76 × 6,831.52
  4. Step 4: Simplify right side
    9,661.76x = 91,117,174.20
  5. Step 5: Solve for x
    x = 91,117,174.20/9,661.76
  6. Step 6: Final answer
    x = 9,430.70

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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.