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Finding the Fourth Proportional to 11,316.52, 15,614.52 and 6,840.53

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Solution

The fourth proportional to 11,316.52, 15,614.52 and 6,840.53 is: 9,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.52 : 15,614.52 = 6,840.53 : x
  2. Step 2: Convert to fraction form
    11,316.52/15,614.52 = 6,840.53/x
  3. Step 3: Cross multiply
    11,316.52x = 15,614.52 × 6,840.53
  4. Step 4: Simplify right side
    11,316.52x = 106,811,541.89
  5. Step 5: Solve for x
    x = 106,811,541.89/11,316.52
  6. Step 6: Final answer
    x = 9,438.55

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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.