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Finding the Fourth Proportional to 41,320, 61,989.72 and 13,618

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Solution

The fourth proportional to 41,320, 61,989.72 and 13,618 is: 20,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,320 : 61,989.72 = 13,618 : x
  2. Step 2: Convert to fraction form
    41,320/61,989.72 = 13,618/x
  3. Step 3: Cross multiply
    41,320x = 61,989.72 × 13,618
  4. Step 4: Simplify right side
    41,320x = 844,176,006.96
  5. Step 5: Solve for x
    x = 844,176,006.96/41,320
  6. Step 6: Final answer
    x = 20,430.20

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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.