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Finding the Fourth Proportional to 10,410.76, 14,366.49 and 5,935.95

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Solution

The fourth proportional to 10,410.76, 14,366.49 and 5,935.95 is: 8,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.76 : 14,366.49 = 5,935.95 : x
  2. Step 2: Convert to fraction form
    10,410.76/14,366.49 = 5,935.95/x
  3. Step 3: Cross multiply
    10,410.76x = 14,366.49 × 5,935.95
  4. Step 4: Simplify right side
    10,410.76x = 85,278,766.32
  5. Step 5: Solve for x
    x = 85,278,766.32/10,410.76
  6. Step 6: Final answer
    x = 8,191.41

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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.