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Finding the Fourth Proportional to 1,812.67, 2,712.84 and 1,520.50

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Solution

The fourth proportional to 1,812.67, 2,712.84 and 1,520.50 is: 2,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.67 : 2,712.84 = 1,520.50 : x
  2. Step 2: Convert to fraction form
    1,812.67/2,712.84 = 1,520.50/x
  3. Step 3: Cross multiply
    1,812.67x = 2,712.84 × 1,520.50
  4. Step 4: Simplify right side
    1,812.67x = 4,124,873.22
  5. Step 5: Solve for x
    x = 4,124,873.22/1,812.67
  6. Step 6: Final answer
    x = 2,275.58

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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.