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Finding the Fourth Proportional to 5,109.16, 7,652.92 and 2,916.76

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Solution

The fourth proportional to 5,109.16, 7,652.92 and 2,916.76 is: 4,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.16 : 7,652.92 = 2,916.76 : x
  2. Step 2: Convert to fraction form
    5,109.16/7,652.92 = 2,916.76/x
  3. Step 3: Cross multiply
    5,109.16x = 7,652.92 × 2,916.76
  4. Step 4: Simplify right side
    5,109.16x = 22,321,730.94
  5. Step 5: Solve for x
    x = 22,321,730.94/5,109.16
  6. Step 6: Final answer
    x = 4,368.96

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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.