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Finding the Fourth Proportional to 2,602.90, 3,904.87 and 959.45

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Solution

The fourth proportional to 2,602.90, 3,904.87 and 959.45 is: 1,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.90 : 3,904.87 = 959.45 : x
  2. Step 2: Convert to fraction form
    2,602.90/3,904.87 = 959.45/x
  3. Step 3: Cross multiply
    2,602.90x = 3,904.87 × 959.45
  4. Step 4: Simplify right side
    2,602.90x = 3,746,522.72
  5. Step 5: Solve for x
    x = 3,746,522.72/2,602.90
  6. Step 6: Final answer
    x = 1,439.37

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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.