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Finding the Fourth Proportional to 10,512, 15,764.88 and 4,962.24

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Solution

The fourth proportional to 10,512, 15,764.88 and 4,962.24 is: 7,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 15,764.88 = 4,962.24 : x
  2. Step 2: Convert to fraction form
    10,512/15,764.88 = 4,962.24/x
  3. Step 3: Cross multiply
    10,512x = 15,764.88 × 4,962.24
  4. Step 4: Simplify right side
    10,512x = 78,229,118.13
  5. Step 5: Solve for x
    x = 78,229,118.13/10,512
  6. Step 6: Final answer
    x = 7,441.89

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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.