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Finding the Fourth Proportional to 9,872.68, 14,810 and 2,852.86

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Solution

The fourth proportional to 9,872.68, 14,810 and 2,852.86 is: 4,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.68 : 14,810 = 2,852.86 : x
  2. Step 2: Convert to fraction form
    9,872.68/14,810 = 2,852.86/x
  3. Step 3: Cross multiply
    9,872.68x = 14,810 × 2,852.86
  4. Step 4: Simplify right side
    9,872.68x = 42,250,856.60
  5. Step 5: Solve for x
    x = 42,250,856.60/9,872.68
  6. Step 6: Final answer
    x = 4,279.57

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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.