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Finding the Fourth Proportional to 5,666.92, 7,819.96 and 3,148.80

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Solution

The fourth proportional to 5,666.92, 7,819.96 and 3,148.80 is: 4,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.92 : 7,819.96 = 3,148.80 : x
  2. Step 2: Convert to fraction form
    5,666.92/7,819.96 = 3,148.80/x
  3. Step 3: Cross multiply
    5,666.92x = 7,819.96 × 3,148.80
  4. Step 4: Simplify right side
    5,666.92x = 24,623,490.05
  5. Step 5: Solve for x
    x = 24,623,490.05/5,666.92
  6. Step 6: Final answer
    x = 4,345.13

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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.