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Finding the Fourth Proportional to 5,666.84, 7,819.96 and 3,149.10

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Solution

The fourth proportional to 5,666.84, 7,819.96 and 3,149.10 is: 4,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.84 : 7,819.96 = 3,149.10 : x
  2. Step 2: Convert to fraction form
    5,666.84/7,819.96 = 3,149.10/x
  3. Step 3: Cross multiply
    5,666.84x = 7,819.96 × 3,149.10
  4. Step 4: Simplify right side
    5,666.84x = 24,625,836.04
  5. Step 5: Solve for x
    x = 24,625,836.04/5,666.84
  6. Step 6: Final answer
    x = 4,345.60

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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.