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Finding the Fourth Proportional to 6,205.76, 8,564 and 3,411.20

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Solution

The fourth proportional to 6,205.76, 8,564 and 3,411.20 is: 4,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.76 : 8,564 = 3,411.20 : x
  2. Step 2: Convert to fraction form
    6,205.76/8,564 = 3,411.20/x
  3. Step 3: Cross multiply
    6,205.76x = 8,564 × 3,411.20
  4. Step 4: Simplify right side
    6,205.76x = 29,213,516.80
  5. Step 5: Solve for x
    x = 29,213,516.80/6,205.76
  6. Step 6: Final answer
    x = 4,707.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.