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Finding the Fourth Proportional to 2,690.71, 4,036.07 and 743.07

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Solution

The fourth proportional to 2,690.71, 4,036.07 and 743.07 is: 1,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.71 : 4,036.07 = 743.07 : x
  2. Step 2: Convert to fraction form
    2,690.71/4,036.07 = 743.07/x
  3. Step 3: Cross multiply
    2,690.71x = 4,036.07 × 743.07
  4. Step 4: Simplify right side
    2,690.71x = 2,999,082.53
  5. Step 5: Solve for x
    x = 2,999,082.53/2,690.71
  6. Step 6: Final answer
    x = 1,114.61

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1.5x scale

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.