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Finding the Fourth Proportional to 2,725.86, 4,089.70 and 877.02

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Solution

The fourth proportional to 2,725.86, 4,089.70 and 877.02 is: 1,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.86 : 4,089.70 = 877.02 : x
  2. Step 2: Convert to fraction form
    2,725.86/4,089.70 = 877.02/x
  3. Step 3: Cross multiply
    2,725.86x = 4,089.70 × 877.02
  4. Step 4: Simplify right side
    2,725.86x = 3,586,748.69
  5. Step 5: Solve for x
    x = 3,586,748.69/2,725.86
  6. Step 6: Final answer
    x = 1,315.82

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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.