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Finding the Fourth Proportional to 7,461.60, 11,168.10 and 5,809.20

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Solution

The fourth proportional to 7,461.60, 11,168.10 and 5,809.20 is: 8,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.60 : 11,168.10 = 5,809.20 : x
  2. Step 2: Convert to fraction form
    7,461.60/11,168.10 = 5,809.20/x
  3. Step 3: Cross multiply
    7,461.60x = 11,168.10 × 5,809.20
  4. Step 4: Simplify right side
    7,461.60x = 64,877,726.52
  5. Step 5: Solve for x
    x = 64,877,726.52/7,461.60
  6. Step 6: Final answer
    x = 8,694.88

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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.