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Finding the Fourth Proportional to 2,659.74, 3,988.04 and 904.11

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Solution

The fourth proportional to 2,659.74, 3,988.04 and 904.11 is: 1,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.74 : 3,988.04 = 904.11 : x
  2. Step 2: Convert to fraction form
    2,659.74/3,988.04 = 904.11/x
  3. Step 3: Cross multiply
    2,659.74x = 3,988.04 × 904.11
  4. Step 4: Simplify right side
    2,659.74x = 3,605,622.32
  5. Step 5: Solve for x
    x = 3,605,622.32/2,659.74
  6. Step 6: Final answer
    x = 1,355.63

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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.