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Finding the Fourth Proportional to 13,677.12, 18,873.89 and 7,710

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Solution

The fourth proportional to 13,677.12, 18,873.89 and 7,710 is: 10,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.12 : 18,873.89 = 7,710 : x
  2. Step 2: Convert to fraction form
    13,677.12/18,873.89 = 7,710/x
  3. Step 3: Cross multiply
    13,677.12x = 18,873.89 × 7,710
  4. Step 4: Simplify right side
    13,677.12x = 145,517,691.90
  5. Step 5: Solve for x
    x = 145,517,691.90/13,677.12
  6. Step 6: Final answer
    x = 10,639.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.