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Finding the Fourth Proportional to 5,686.80, 8,489.58 and 4,811.76

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Solution

The fourth proportional to 5,686.80, 8,489.58 and 4,811.76 is: 7,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.80 : 8,489.58 = 4,811.76 : x
  2. Step 2: Convert to fraction form
    5,686.80/8,489.58 = 4,811.76/x
  3. Step 3: Cross multiply
    5,686.80x = 8,489.58 × 4,811.76
  4. Step 4: Simplify right side
    5,686.80x = 40,849,821.46
  5. Step 5: Solve for x
    x = 40,849,821.46/5,686.80
  6. Step 6: Final answer
    x = 7,183.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.