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Finding the Fourth Proportional to 10,127.62, 13,980.54 and 6,149.98

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Solution

The fourth proportional to 10,127.62, 13,980.54 and 6,149.98 is: 8,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.62 : 13,980.54 = 6,149.98 : x
  2. Step 2: Convert to fraction form
    10,127.62/13,980.54 = 6,149.98/x
  3. Step 3: Cross multiply
    10,127.62x = 13,980.54 × 6,149.98
  4. Step 4: Simplify right side
    10,127.62x = 85,980,041.39
  5. Step 5: Solve for x
    x = 85,980,041.39/10,127.62
  6. Step 6: Final answer
    x = 8,489.66

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