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Finding the Fourth Proportional to 2,142, 3,206.76 and 1,523.76

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Solution

The fourth proportional to 2,142, 3,206.76 and 1,523.76 is: 2,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 3,206.76 = 1,523.76 : x
  2. Step 2: Convert to fraction form
    2,142/3,206.76 = 1,523.76/x
  3. Step 3: Cross multiply
    2,142x = 3,206.76 × 1,523.76
  4. Step 4: Simplify right side
    2,142x = 4,886,332.62
  5. Step 5: Solve for x
    x = 4,886,332.62/2,142
  6. Step 6: Final answer
    x = 2,281.20

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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.