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Finding the Fourth Proportional to 2,602.65, 3,904.25 and 959.18

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Solution

The fourth proportional to 2,602.65, 3,904.25 and 959.18 is: 1,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.65 : 3,904.25 = 959.18 : x
  2. Step 2: Convert to fraction form
    2,602.65/3,904.25 = 959.18/x
  3. Step 3: Cross multiply
    2,602.65x = 3,904.25 × 959.18
  4. Step 4: Simplify right side
    2,602.65x = 3,744,878.52
  5. Step 5: Solve for x
    x = 3,744,878.52/2,602.65
  6. Step 6: Final answer
    x = 1,438.87

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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.