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Finding the Fourth Proportional to 5,154.56, 7,113.44 and 2,916.78

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Solution

The fourth proportional to 5,154.56, 7,113.44 and 2,916.78 is: 4,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.56 : 7,113.44 = 2,916.78 : x
  2. Step 2: Convert to fraction form
    5,154.56/7,113.44 = 2,916.78/x
  3. Step 3: Cross multiply
    5,154.56x = 7,113.44 × 2,916.78
  4. Step 4: Simplify right side
    5,154.56x = 20,748,339.52
  5. Step 5: Solve for x
    x = 20,748,339.52/5,154.56
  6. Step 6: Final answer
    x = 4,025.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.