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Finding the Fourth Proportional to 6,411.16, 9,620.16 and 2,515.60

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Solution

The fourth proportional to 6,411.16, 9,620.16 and 2,515.60 is: 3,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.16 : 9,620.16 = 2,515.60 : x
  2. Step 2: Convert to fraction form
    6,411.16/9,620.16 = 2,515.60/x
  3. Step 3: Cross multiply
    6,411.16x = 9,620.16 × 2,515.60
  4. Step 4: Simplify right side
    6,411.16x = 24,200,474.50
  5. Step 5: Solve for x
    x = 24,200,474.50/6,411.16
  6. Step 6: Final answer
    x = 3,774.74

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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.