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Finding the Fourth Proportional to 8,865.60, 13,312.80 and 4,977.60

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Solution

The fourth proportional to 8,865.60, 13,312.80 and 4,977.60 is: 7,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865.60 : 13,312.80 = 4,977.60 : x
  2. Step 2: Convert to fraction form
    8,865.60/13,312.80 = 4,977.60/x
  3. Step 3: Cross multiply
    8,865.60x = 13,312.80 × 4,977.60
  4. Step 4: Simplify right side
    8,865.60x = 66,265,793.28
  5. Step 5: Solve for x
    x = 66,265,793.28/8,865.60
  6. Step 6: Final answer
    x = 7,474.48

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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.