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Finding the Fourth Proportional to 11,371.74, 15,700.74 and 7,124.56

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Solution

The fourth proportional to 11,371.74, 15,700.74 and 7,124.56 is: 9,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.74 : 15,700.74 = 7,124.56 : x
  2. Step 2: Convert to fraction form
    11,371.74/15,700.74 = 7,124.56/x
  3. Step 3: Cross multiply
    11,371.74x = 15,700.74 × 7,124.56
  4. Step 4: Simplify right side
    11,371.74x = 111,860,864.17
  5. Step 5: Solve for x
    x = 111,860,864.17/11,371.74
  6. Step 6: Final answer
    x = 9,836.74

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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.