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Finding the Fourth Proportional to 8,751.60, 13,122.84 and 4,307.40

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Solution

The fourth proportional to 8,751.60, 13,122.84 and 4,307.40 is: 6,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751.60 : 13,122.84 = 4,307.40 : x
  2. Step 2: Convert to fraction form
    8,751.60/13,122.84 = 4,307.40/x
  3. Step 3: Cross multiply
    8,751.60x = 13,122.84 × 4,307.40
  4. Step 4: Simplify right side
    8,751.60x = 56,525,321.02
  5. Step 5: Solve for x
    x = 56,525,321.02/8,751.60
  6. Step 6: Final answer
    x = 6,458.86

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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.