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Finding the Fourth Proportional to 7,758.55, 11,641.88 and 7,340.32

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Solution

The fourth proportional to 7,758.55, 11,641.88 and 7,340.32 is: 11,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.55 : 11,641.88 = 7,340.32 : x
  2. Step 2: Convert to fraction form
    7,758.55/11,641.88 = 7,340.32/x
  3. Step 3: Cross multiply
    7,758.55x = 11,641.88 × 7,340.32
  4. Step 4: Simplify right side
    7,758.55x = 85,455,087.90
  5. Step 5: Solve for x
    x = 85,455,087.90/7,758.55
  6. Step 6: Final answer
    x = 11,014.31

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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.