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Finding the Fourth Proportional to 8,271.16, 12,407.60 and 3,340

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Solution

The fourth proportional to 8,271.16, 12,407.60 and 3,340 is: 5,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.16 : 12,407.60 = 3,340 : x
  2. Step 2: Convert to fraction form
    8,271.16/12,407.60 = 3,340/x
  3. Step 3: Cross multiply
    8,271.16x = 12,407.60 × 3,340
  4. Step 4: Simplify right side
    8,271.16x = 41,441,384
  5. Step 5: Solve for x
    x = 41,441,384/8,271.16
  6. Step 6: Final answer
    x = 5,010.35

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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.