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Finding the Fourth Proportional to 5,659.52, 8,489.84 and 1,762.88

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Solution

The fourth proportional to 5,659.52, 8,489.84 and 1,762.88 is: 2,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.52 : 8,489.84 = 1,762.88 : x
  2. Step 2: Convert to fraction form
    5,659.52/8,489.84 = 1,762.88/x
  3. Step 3: Cross multiply
    5,659.52x = 8,489.84 × 1,762.88
  4. Step 4: Simplify right side
    5,659.52x = 14,966,569.14
  5. Step 5: Solve for x
    x = 14,966,569.14/5,659.52
  6. Step 6: Final answer
    x = 2,644.49

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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.