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Finding the Fourth Proportional to 3,549.86, 4,898.92 and 1,956.66

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Solution

The fourth proportional to 3,549.86, 4,898.92 and 1,956.66 is: 2,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.86 : 4,898.92 = 1,956.66 : x
  2. Step 2: Convert to fraction form
    3,549.86/4,898.92 = 1,956.66/x
  3. Step 3: Cross multiply
    3,549.86x = 4,898.92 × 1,956.66
  4. Step 4: Simplify right side
    3,549.86x = 9,585,520.81
  5. Step 5: Solve for x
    x = 9,585,520.81/3,549.86
  6. Step 6: Final answer
    x = 2,700.25

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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.