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Finding the Fourth Proportional to 1,813.80, 2,502.18 and 1,114.92

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Solution

The fourth proportional to 1,813.80, 2,502.18 and 1,114.92 is: 1,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.80 : 2,502.18 = 1,114.92 : x
  2. Step 2: Convert to fraction form
    1,813.80/2,502.18 = 1,114.92/x
  3. Step 3: Cross multiply
    1,813.80x = 2,502.18 × 1,114.92
  4. Step 4: Simplify right side
    1,813.80x = 2,789,730.53
  5. Step 5: Solve for x
    x = 2,789,730.53/1,813.80
  6. Step 6: Final answer
    x = 1,538.06

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1.5x scale

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.