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Finding the Fourth Proportional to 5,574.76, 8,363.10 and 1,678.84

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Solution

The fourth proportional to 5,574.76, 8,363.10 and 1,678.84 is: 2,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.76 : 8,363.10 = 1,678.84 : x
  2. Step 2: Convert to fraction form
    5,574.76/8,363.10 = 1,678.84/x
  3. Step 3: Cross multiply
    5,574.76x = 8,363.10 × 1,678.84
  4. Step 4: Simplify right side
    5,574.76x = 14,040,306.80
  5. Step 5: Solve for x
    x = 14,040,306.80/5,574.76
  6. Step 6: Final answer
    x = 2,518.55

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1.5x scale

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.