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Finding the Fourth Proportional to 5,877.28, 8,813.20 and 3,412.84

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Solution

The fourth proportional to 5,877.28, 8,813.20 and 3,412.84 is: 5,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.28 : 8,813.20 = 3,412.84 : x
  2. Step 2: Convert to fraction form
    5,877.28/8,813.20 = 3,412.84/x
  3. Step 3: Cross multiply
    5,877.28x = 8,813.20 × 3,412.84
  4. Step 4: Simplify right side
    5,877.28x = 30,078,041.49
  5. Step 5: Solve for x
    x = 30,078,041.49/5,877.28
  6. Step 6: Final answer
    x = 5,117.68

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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.