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Finding the Fourth Proportional to 1,815.66, 2,715.12 and 1,348.02

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Solution

The fourth proportional to 1,815.66, 2,715.12 and 1,348.02 is: 2,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.66 : 2,715.12 = 1,348.02 : x
  2. Step 2: Convert to fraction form
    1,815.66/2,715.12 = 1,348.02/x
  3. Step 3: Cross multiply
    1,815.66x = 2,715.12 × 1,348.02
  4. Step 4: Simplify right side
    1,815.66x = 3,660,036.06
  5. Step 5: Solve for x
    x = 3,660,036.06/1,815.66
  6. Step 6: Final answer
    x = 2,015.82

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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.