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Finding the Fourth Proportional to 7,464, 10,299.84 and 4,321.20

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Solution

The fourth proportional to 7,464, 10,299.84 and 4,321.20 is: 5,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464 : 10,299.84 = 4,321.20 : x
  2. Step 2: Convert to fraction form
    7,464/10,299.84 = 4,321.20/x
  3. Step 3: Cross multiply
    7,464x = 10,299.84 × 4,321.20
  4. Step 4: Simplify right side
    7,464x = 44,507,668.61
  5. Step 5: Solve for x
    x = 44,507,668.61/7,464
  6. Step 6: Final answer
    x = 5,962.98

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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.