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Finding the Fourth Proportional to 8,471.59, 11,690.80 and 4,694.76

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Solution

The fourth proportional to 8,471.59, 11,690.80 and 4,694.76 is: 6,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.59 : 11,690.80 = 4,694.76 : x
  2. Step 2: Convert to fraction form
    8,471.59/11,690.80 = 4,694.76/x
  3. Step 3: Cross multiply
    8,471.59x = 11,690.80 × 4,694.76
  4. Step 4: Simplify right side
    8,471.59x = 54,885,488.47
  5. Step 5: Solve for x
    x = 54,885,488.47/8,471.59
  6. Step 6: Final answer
    x = 6,478.77

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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.