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Finding the Fourth Proportional to 6,420.32, 9,624 and 2,523.20

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Solution

The fourth proportional to 6,420.32, 9,624 and 2,523.20 is: 3,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.32 : 9,624 = 2,523.20 : x
  2. Step 2: Convert to fraction form
    6,420.32/9,624 = 2,523.20/x
  3. Step 3: Cross multiply
    6,420.32x = 9,624 × 2,523.20
  4. Step 4: Simplify right side
    6,420.32x = 24,283,276.80
  5. Step 5: Solve for x
    x = 24,283,276.80/6,420.32
  6. Step 6: Final answer
    x = 3,782.25

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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.