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Finding the Fourth Proportional to 6,432, 9,643.68 and 5,179.20

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Solution

The fourth proportional to 6,432, 9,643.68 and 5,179.20 is: 7,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432 : 9,643.68 = 5,179.20 : x
  2. Step 2: Convert to fraction form
    6,432/9,643.68 = 5,179.20/x
  3. Step 3: Cross multiply
    6,432x = 9,643.68 × 5,179.20
  4. Step 4: Simplify right side
    6,432x = 49,946,547.46
  5. Step 5: Solve for x
    x = 49,946,547.46/6,432
  6. Step 6: Final answer
    x = 7,765.32

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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.