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Finding the Fourth Proportional to 5,898.78, 8,140.17 and 3,209.88

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Solution

The fourth proportional to 5,898.78, 8,140.17 and 3,209.88 is: 4,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.78 : 8,140.17 = 3,209.88 : x
  2. Step 2: Convert to fraction form
    5,898.78/8,140.17 = 3,209.88/x
  3. Step 3: Cross multiply
    5,898.78x = 8,140.17 × 3,209.88
  4. Step 4: Simplify right side
    5,898.78x = 26,128,968.88
  5. Step 5: Solve for x
    x = 26,128,968.88/5,898.78
  6. Step 6: Final answer
    x = 4,429.55

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1.5x scale

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.