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Finding the Fourth Proportional to 9,118, 13,678.32 and 2,875.90

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Solution

The fourth proportional to 9,118, 13,678.32 and 2,875.90 is: 4,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118 : 13,678.32 = 2,875.90 : x
  2. Step 2: Convert to fraction form
    9,118/13,678.32 = 2,875.90/x
  3. Step 3: Cross multiply
    9,118x = 13,678.32 × 2,875.90
  4. Step 4: Simplify right side
    9,118x = 39,337,480.49
  5. Step 5: Solve for x
    x = 39,337,480.49/9,118
  6. Step 6: Final answer
    x = 4,314.27

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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.