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Finding the Fourth Proportional to 2,351.68, 3,526.64 and 891.28

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Solution

The fourth proportional to 2,351.68, 3,526.64 and 891.28 is: 1,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.68 : 3,526.64 = 891.28 : x
  2. Step 2: Convert to fraction form
    2,351.68/3,526.64 = 891.28/x
  3. Step 3: Cross multiply
    2,351.68x = 3,526.64 × 891.28
  4. Step 4: Simplify right side
    2,351.68x = 3,143,223.70
  5. Step 5: Solve for x
    x = 3,143,223.70/2,351.68
  6. Step 6: Final answer
    x = 1,336.59

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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.