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Finding the Fourth Proportional to 10,863.77, 14,991.62 and 6,147.95

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Solution

The fourth proportional to 10,863.77, 14,991.62 and 6,147.95 is: 8,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.77 : 14,991.62 = 6,147.95 : x
  2. Step 2: Convert to fraction form
    10,863.77/14,991.62 = 6,147.95/x
  3. Step 3: Cross multiply
    10,863.77x = 14,991.62 × 6,147.95
  4. Step 4: Simplify right side
    10,863.77x = 92,167,624.48
  5. Step 5: Solve for x
    x = 92,167,624.48/10,863.77
  6. Step 6: Final answer
    x = 8,483.95

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1.5x scale

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.