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Finding the Fourth Proportional to 41,865.12, 62,806.80 and 13,788

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Solution

The fourth proportional to 41,865.12, 62,806.80 and 13,788 is: 20,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,865.12 : 62,806.80 = 13,788 : x
  2. Step 2: Convert to fraction form
    41,865.12/62,806.80 = 13,788/x
  3. Step 3: Cross multiply
    41,865.12x = 62,806.80 × 13,788
  4. Step 4: Simplify right side
    41,865.12x = 865,980,158.40
  5. Step 5: Solve for x
    x = 865,980,158.40/41,865.12
  6. Step 6: Final answer
    x = 20,685.00

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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.