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Finding the Fourth Proportional to 5,355.74, 8,032.91 and 1,657.69

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Solution

The fourth proportional to 5,355.74, 8,032.91 and 1,657.69 is: 2,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.74 : 8,032.91 = 1,657.69 : x
  2. Step 2: Convert to fraction form
    5,355.74/8,032.91 = 1,657.69/x
  3. Step 3: Cross multiply
    5,355.74x = 8,032.91 × 1,657.69
  4. Step 4: Simplify right side
    5,355.74x = 13,316,046.21
  5. Step 5: Solve for x
    x = 13,316,046.21/5,355.74
  6. Step 6: Final answer
    x = 2,486.31

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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.