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Finding the Fourth Proportional to 5,582.80, 7,707.60 and 3,489.76

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Solution

The fourth proportional to 5,582.80, 7,707.60 and 3,489.76 is: 4,817.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.80 : 7,707.60 = 3,489.76 : x
  2. Step 2: Convert to fraction form
    5,582.80/7,707.60 = 3,489.76/x
  3. Step 3: Cross multiply
    5,582.80x = 7,707.60 × 3,489.76
  4. Step 4: Simplify right side
    5,582.80x = 26,897,674.18
  5. Step 5: Solve for x
    x = 26,897,674.18/5,582.80
  6. Step 6: Final answer
    x = 4,817.95

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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.