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Finding the Fourth Proportional to 10,604.64, 15,899.28 and 8,001.12

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Solution

The fourth proportional to 10,604.64, 15,899.28 and 8,001.12 is: 11,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.64 : 15,899.28 = 8,001.12 : x
  2. Step 2: Convert to fraction form
    10,604.64/15,899.28 = 8,001.12/x
  3. Step 3: Cross multiply
    10,604.64x = 15,899.28 × 8,001.12
  4. Step 4: Simplify right side
    10,604.64x = 127,212,047.19
  5. Step 5: Solve for x
    x = 127,212,047.19/10,604.64
  6. Step 6: Final answer
    x = 11,995.89

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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.