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Finding the Fourth Proportional to 9,306.64, 12,831.24 and 7,621.84

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Solution

The fourth proportional to 9,306.64, 12,831.24 and 7,621.84 is: 10,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.64 : 12,831.24 = 7,621.84 : x
  2. Step 2: Convert to fraction form
    9,306.64/12,831.24 = 7,621.84/x
  3. Step 3: Cross multiply
    9,306.64x = 12,831.24 × 7,621.84
  4. Step 4: Simplify right side
    9,306.64x = 97,797,658.28
  5. Step 5: Solve for x
    x = 97,797,658.28/9,306.64
  6. Step 6: Final answer
    x = 10,508.37

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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.