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Finding the Fourth Proportional to 2,259.69, 3,386.93 and 872.41

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Solution

The fourth proportional to 2,259.69, 3,386.93 and 872.41 is: 1,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.69 : 3,386.93 = 872.41 : x
  2. Step 2: Convert to fraction form
    2,259.69/3,386.93 = 872.41/x
  3. Step 3: Cross multiply
    2,259.69x = 3,386.93 × 872.41
  4. Step 4: Simplify right side
    2,259.69x = 2,954,787.24
  5. Step 5: Solve for x
    x = 2,954,787.24/2,259.69
  6. Step 6: Final answer
    x = 1,307.61

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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.