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Finding the Fourth Proportional to 9,931.20, 14,896.80 and 4,084.80

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Solution

The fourth proportional to 9,931.20, 14,896.80 and 4,084.80 is: 6,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.20 : 14,896.80 = 4,084.80 : x
  2. Step 2: Convert to fraction form
    9,931.20/14,896.80 = 4,084.80/x
  3. Step 3: Cross multiply
    9,931.20x = 14,896.80 × 4,084.80
  4. Step 4: Simplify right side
    9,931.20x = 60,850,448.64
  5. Step 5: Solve for x
    x = 60,850,448.64/9,931.20
  6. Step 6: Final answer
    x = 6,127.20

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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.