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Finding the Fourth Proportional to 8,276.40, 11,405.40 and 7,734.96

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Solution

The fourth proportional to 8,276.40, 11,405.40 and 7,734.96 is: 10,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.40 : 11,405.40 = 7,734.96 : x
  2. Step 2: Convert to fraction form
    8,276.40/11,405.40 = 7,734.96/x
  3. Step 3: Cross multiply
    8,276.40x = 11,405.40 × 7,734.96
  4. Step 4: Simplify right side
    8,276.40x = 88,220,312.78
  5. Step 5: Solve for x
    x = 88,220,312.78/8,276.40
  6. Step 6: Final answer
    x = 10,659.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.