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Finding the Fourth Proportional to 5,357.72, 8,036.96 and 1,659.47

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Solution

The fourth proportional to 5,357.72, 8,036.96 and 1,659.47 is: 2,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.72 : 8,036.96 = 1,659.47 : x
  2. Step 2: Convert to fraction form
    5,357.72/8,036.96 = 1,659.47/x
  3. Step 3: Cross multiply
    5,357.72x = 8,036.96 × 1,659.47
  4. Step 4: Simplify right side
    5,357.72x = 13,337,094.01
  5. Step 5: Solve for x
    x = 13,337,094.01/5,357.72
  6. Step 6: Final answer
    x = 2,489.32

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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.