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Finding the Fourth Proportional to 10,855.40, 14,977.86 and 6,139.40

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Solution

The fourth proportional to 10,855.40, 14,977.86 and 6,139.40 is: 8,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.40 : 14,977.86 = 6,139.40 : x
  2. Step 2: Convert to fraction form
    10,855.40/14,977.86 = 6,139.40/x
  3. Step 3: Cross multiply
    10,855.40x = 14,977.86 × 6,139.40
  4. Step 4: Simplify right side
    10,855.40x = 91,955,073.68
  5. Step 5: Solve for x
    x = 91,955,073.68/10,855.40
  6. Step 6: Final answer
    x = 8,470.91

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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.