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Finding the Fourth Proportional to 5,785.60, 8,678.40 and 5,363.20

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Solution

The fourth proportional to 5,785.60, 8,678.40 and 5,363.20 is: 8,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.60 : 8,678.40 = 5,363.20 : x
  2. Step 2: Convert to fraction form
    5,785.60/8,678.40 = 5,363.20/x
  3. Step 3: Cross multiply
    5,785.60x = 8,678.40 × 5,363.20
  4. Step 4: Simplify right side
    5,785.60x = 46,543,994.88
  5. Step 5: Solve for x
    x = 46,543,994.88/5,785.60
  6. Step 6: Final answer
    x = 8,044.80

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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.