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Finding the Fourth Proportional to 5,365.84, 8,047.20 and 2,078.20

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Solution

The fourth proportional to 5,365.84, 8,047.20 and 2,078.20 is: 3,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.84 : 8,047.20 = 2,078.20 : x
  2. Step 2: Convert to fraction form
    5,365.84/8,047.20 = 2,078.20/x
  3. Step 3: Cross multiply
    5,365.84x = 8,047.20 × 2,078.20
  4. Step 4: Simplify right side
    5,365.84x = 16,723,691.04
  5. Step 5: Solve for x
    x = 16,723,691.04/5,365.84
  6. Step 6: Final answer
    x = 3,116.70

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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.