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Finding the Fourth Proportional to 10,662, 15,994.32 and 3,642.72

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Solution

The fourth proportional to 10,662, 15,994.32 and 3,642.72 is: 5,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662 : 15,994.32 = 3,642.72 : x
  2. Step 2: Convert to fraction form
    10,662/15,994.32 = 3,642.72/x
  3. Step 3: Cross multiply
    10,662x = 15,994.32 × 3,642.72
  4. Step 4: Simplify right side
    10,662x = 58,262,829.35
  5. Step 5: Solve for x
    x = 58,262,829.35/10,662
  6. Step 6: Final answer
    x = 5,464.53

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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.