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Finding the Fourth Proportional to 1,812.76, 2,713.30 and 1,642.24

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Solution

The fourth proportional to 1,812.76, 2,713.30 and 1,642.24 is: 2,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.76 : 2,713.30 = 1,642.24 : x
  2. Step 2: Convert to fraction form
    1,812.76/2,713.30 = 1,642.24/x
  3. Step 3: Cross multiply
    1,812.76x = 2,713.30 × 1,642.24
  4. Step 4: Simplify right side
    1,812.76x = 4,455,889.79
  5. Step 5: Solve for x
    x = 4,455,889.79/1,812.76
  6. Step 6: Final answer
    x = 2,458.07

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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.