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Finding the Fourth Proportional to 8,902, 13,353.72 and 2,746

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Solution

The fourth proportional to 8,902, 13,353.72 and 2,746 is: 4,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902 : 13,353.72 = 2,746 : x
  2. Step 2: Convert to fraction form
    8,902/13,353.72 = 2,746/x
  3. Step 3: Cross multiply
    8,902x = 13,353.72 × 2,746
  4. Step 4: Simplify right side
    8,902x = 36,669,315.12
  5. Step 5: Solve for x
    x = 36,669,315.12/8,902
  6. Step 6: Final answer
    x = 4,119.22

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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.