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Finding the Fourth Proportional to 5,145.52, 7,114.62 and 4,909

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Solution

The fourth proportional to 5,145.52, 7,114.62 and 4,909 is: 6,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.52 : 7,114.62 = 4,909 : x
  2. Step 2: Convert to fraction form
    5,145.52/7,114.62 = 4,909/x
  3. Step 3: Cross multiply
    5,145.52x = 7,114.62 × 4,909
  4. Step 4: Simplify right side
    5,145.52x = 34,925,669.58
  5. Step 5: Solve for x
    x = 34,925,669.58/5,145.52
  6. Step 6: Final answer
    x = 6,787.59

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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.