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Finding the Fourth Proportional to 10,154.76, 15,226.36 and 7,413

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Solution

The fourth proportional to 10,154.76, 15,226.36 and 7,413 is: 11,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.76 : 15,226.36 = 7,413 : x
  2. Step 2: Convert to fraction form
    10,154.76/15,226.36 = 7,413/x
  3. Step 3: Cross multiply
    10,154.76x = 15,226.36 × 7,413
  4. Step 4: Simplify right side
    10,154.76x = 112,873,006.68
  5. Step 5: Solve for x
    x = 112,873,006.68/10,154.76
  6. Step 6: Final answer
    x = 11,115.28

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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.