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Finding the Fourth Proportional to 5,385.60, 8,056.80 and 4,867.20

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Solution

The fourth proportional to 5,385.60, 8,056.80 and 4,867.20 is: 7,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.60 : 8,056.80 = 4,867.20 : x
  2. Step 2: Convert to fraction form
    5,385.60/8,056.80 = 4,867.20/x
  3. Step 3: Cross multiply
    5,385.60x = 8,056.80 × 4,867.20
  4. Step 4: Simplify right side
    5,385.60x = 39,214,056.96
  5. Step 5: Solve for x
    x = 39,214,056.96/5,385.60
  6. Step 6: Final answer
    x = 7,281.28

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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.