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Finding the Fourth Proportional to 10,986.64, 15,129.64 and 9,550.38

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Solution

The fourth proportional to 10,986.64, 15,129.64 and 9,550.38 is: 13,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.64 : 15,129.64 = 9,550.38 : x
  2. Step 2: Convert to fraction form
    10,986.64/15,129.64 = 9,550.38/x
  3. Step 3: Cross multiply
    10,986.64x = 15,129.64 × 9,550.38
  4. Step 4: Simplify right side
    10,986.64x = 144,493,811.26
  5. Step 5: Solve for x
    x = 144,493,811.26/10,986.64
  6. Step 6: Final answer
    x = 13,151.77

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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.