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Finding the Fourth Proportional to 8,407.55, 12,611.35 and 2,564.16

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Solution

The fourth proportional to 8,407.55, 12,611.35 and 2,564.16 is: 3,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.55 : 12,611.35 = 2,564.16 : x
  2. Step 2: Convert to fraction form
    8,407.55/12,611.35 = 2,564.16/x
  3. Step 3: Cross multiply
    8,407.55x = 12,611.35 × 2,564.16
  4. Step 4: Simplify right side
    8,407.55x = 32,337,460.71
  5. Step 5: Solve for x
    x = 32,337,460.71/8,407.55
  6. Step 6: Final answer
    x = 3,846.24

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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.