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Finding the Fourth Proportional to 7,665.52, 11,498.28 and 4,200.88

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Solution

The fourth proportional to 7,665.52, 11,498.28 and 4,200.88 is: 6,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.52 : 11,498.28 = 4,200.88 : x
  2. Step 2: Convert to fraction form
    7,665.52/11,498.28 = 4,200.88/x
  3. Step 3: Cross multiply
    7,665.52x = 11,498.28 × 4,200.88
  4. Step 4: Simplify right side
    7,665.52x = 48,302,894.49
  5. Step 5: Solve for x
    x = 48,302,894.49/7,665.52
  6. Step 6: Final answer
    x = 6,301.32

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Similar ratio
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1.5x scale

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.