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Finding the Fourth Proportional to 10,913.25, 15,062.04 and 6,200.40

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Solution

The fourth proportional to 10,913.25, 15,062.04 and 6,200.40 is: 8,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.25 : 15,062.04 = 6,200.40 : x
  2. Step 2: Convert to fraction form
    10,913.25/15,062.04 = 6,200.40/x
  3. Step 3: Cross multiply
    10,913.25x = 15,062.04 × 6,200.40
  4. Step 4: Simplify right side
    10,913.25x = 93,390,672.82
  5. Step 5: Solve for x
    x = 93,390,672.82/10,913.25
  6. Step 6: Final answer
    x = 8,557.55

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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.