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Finding the Fourth Proportional to 29,980.57, 44,962.35 and 8,919.76

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Solution

The fourth proportional to 29,980.57, 44,962.35 and 8,919.76 is: 13,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.57 : 44,962.35 = 8,919.76 : x
  2. Step 2: Convert to fraction form
    29,980.57/44,962.35 = 8,919.76/x
  3. Step 3: Cross multiply
    29,980.57x = 44,962.35 × 8,919.76
  4. Step 4: Simplify right side
    29,980.57x = 401,053,371.04
  5. Step 5: Solve for x
    x = 401,053,371.04/29,980.57
  6. Step 6: Final answer
    x = 13,377.11

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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.