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Finding the Fourth Proportional to 10,711.68, 14,781.60 and 6,235.68

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Solution

The fourth proportional to 10,711.68, 14,781.60 and 6,235.68 is: 8,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.68 : 14,781.60 = 6,235.68 : x
  2. Step 2: Convert to fraction form
    10,711.68/14,781.60 = 6,235.68/x
  3. Step 3: Cross multiply
    10,711.68x = 14,781.60 × 6,235.68
  4. Step 4: Simplify right side
    10,711.68x = 92,173,327.49
  5. Step 5: Solve for x
    x = 92,173,327.49/10,711.68
  6. Step 6: Final answer
    x = 8,604.94

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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.