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Finding the Fourth Proportional to 10,978.14, 15,153.24 and 6,265.56

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Solution

The fourth proportional to 10,978.14, 15,153.24 and 6,265.56 is: 8,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.14 : 15,153.24 = 6,265.56 : x
  2. Step 2: Convert to fraction form
    10,978.14/15,153.24 = 6,265.56/x
  3. Step 3: Cross multiply
    10,978.14x = 15,153.24 × 6,265.56
  4. Step 4: Simplify right side
    10,978.14x = 94,943,534.41
  5. Step 5: Solve for x
    x = 94,943,534.41/10,978.14
  6. Step 6: Final answer
    x = 8,648.42

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1.5x scale

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.