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Finding the Fourth Proportional to 6,549.68, 9,831.82 and 6,447.62

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Solution

The fourth proportional to 6,549.68, 9,831.82 and 6,447.62 is: 9,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.68 : 9,831.82 = 6,447.62 : x
  2. Step 2: Convert to fraction form
    6,549.68/9,831.82 = 6,447.62/x
  3. Step 3: Cross multiply
    6,549.68x = 9,831.82 × 6,447.62
  4. Step 4: Simplify right side
    6,549.68x = 63,391,839.27
  5. Step 5: Solve for x
    x = 63,391,839.27/6,549.68
  6. Step 6: Final answer
    x = 9,678.62

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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.