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Finding the Fourth Proportional to 5,617, 8,405.76 and 4,132.90

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Solution

The fourth proportional to 5,617, 8,405.76 and 4,132.90 is: 6,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617 : 8,405.76 = 4,132.90 : x
  2. Step 2: Convert to fraction form
    5,617/8,405.76 = 4,132.90/x
  3. Step 3: Cross multiply
    5,617x = 8,405.76 × 4,132.90
  4. Step 4: Simplify right side
    5,617x = 34,740,165.50
  5. Step 5: Solve for x
    x = 34,740,165.50/5,617
  6. Step 6: Final answer
    x = 6,184.83

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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.