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Finding the Fourth Proportional to 2,432.94, 3,647.74 and 872.91

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Solution

The fourth proportional to 2,432.94, 3,647.74 and 872.91 is: 1,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.94 : 3,647.74 = 872.91 : x
  2. Step 2: Convert to fraction form
    2,432.94/3,647.74 = 872.91/x
  3. Step 3: Cross multiply
    2,432.94x = 3,647.74 × 872.91
  4. Step 4: Simplify right side
    2,432.94x = 3,184,130.48
  5. Step 5: Solve for x
    x = 3,184,130.48/2,432.94
  6. Step 6: Final answer
    x = 1,308.76

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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.