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Finding the Fourth Proportional to 6,415.90, 9,611.28 and 5,719.30

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Solution

The fourth proportional to 6,415.90, 9,611.28 and 5,719.30 is: 8,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.90 : 9,611.28 = 5,719.30 : x
  2. Step 2: Convert to fraction form
    6,415.90/9,611.28 = 5,719.30/x
  3. Step 3: Cross multiply
    6,415.90x = 9,611.28 × 5,719.30
  4. Step 4: Simplify right side
    6,415.90x = 54,969,793.70
  5. Step 5: Solve for x
    x = 54,969,793.70/6,415.90
  6. Step 6: Final answer
    x = 8,567.74

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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.