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Finding the Fourth Proportional to 10,894.81, 15,034.21 and 6,114.31

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Solution

The fourth proportional to 10,894.81, 15,034.21 and 6,114.31 is: 8,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.81 : 15,034.21 = 6,114.31 : x
  2. Step 2: Convert to fraction form
    10,894.81/15,034.21 = 6,114.31/x
  3. Step 3: Cross multiply
    10,894.81x = 15,034.21 × 6,114.31
  4. Step 4: Simplify right side
    10,894.81x = 91,923,827.15
  5. Step 5: Solve for x
    x = 91,923,827.15/10,894.81
  6. Step 6: Final answer
    x = 8,437.39

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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.