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Finding the Fourth Proportional to 10,613.36, 15,905.24 and 7,977.78

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Solution

The fourth proportional to 10,613.36, 15,905.24 and 7,977.78 is: 11,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.36 : 15,905.24 = 7,977.78 : x
  2. Step 2: Convert to fraction form
    10,613.36/15,905.24 = 7,977.78/x
  3. Step 3: Cross multiply
    10,613.36x = 15,905.24 × 7,977.78
  4. Step 4: Simplify right side
    10,613.36x = 126,888,505.57
  5. Step 5: Solve for x
    x = 126,888,505.57/10,613.36
  6. Step 6: Final answer
    x = 11,955.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.