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Finding the Fourth Proportional to 8,597.80, 12,898.86 and 3,403

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Solution

The fourth proportional to 8,597.80, 12,898.86 and 3,403 is: 5,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.80 : 12,898.86 = 3,403 : x
  2. Step 2: Convert to fraction form
    8,597.80/12,898.86 = 3,403/x
  3. Step 3: Cross multiply
    8,597.80x = 12,898.86 × 3,403
  4. Step 4: Simplify right side
    8,597.80x = 43,894,820.58
  5. Step 5: Solve for x
    x = 43,894,820.58/8,597.80
  6. Step 6: Final answer
    x = 5,105.35

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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.