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Finding the Fourth Proportional to 6,471.64, 9,705 and 5,426.74

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Solution

The fourth proportional to 6,471.64, 9,705 and 5,426.74 is: 8,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.64 : 9,705 = 5,426.74 : x
  2. Step 2: Convert to fraction form
    6,471.64/9,705 = 5,426.74/x
  3. Step 3: Cross multiply
    6,471.64x = 9,705 × 5,426.74
  4. Step 4: Simplify right side
    6,471.64x = 52,666,511.70
  5. Step 5: Solve for x
    x = 52,666,511.70/6,471.64
  6. Step 6: Final answer
    x = 8,138.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.