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Finding the Fourth Proportional to 11,159.64, 15,402.42 and 7,382.88

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Solution

The fourth proportional to 11,159.64, 15,402.42 and 7,382.88 is: 10,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.64 : 15,402.42 = 7,382.88 : x
  2. Step 2: Convert to fraction form
    11,159.64/15,402.42 = 7,382.88/x
  3. Step 3: Cross multiply
    11,159.64x = 15,402.42 × 7,382.88
  4. Step 4: Simplify right side
    11,159.64x = 113,714,218.57
  5. Step 5: Solve for x
    x = 113,714,218.57/11,159.64
  6. Step 6: Final answer
    x = 10,189.77

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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.