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Finding the Fourth Proportional to 8,832.78, 12,189.47 and 4,854

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Solution

The fourth proportional to 8,832.78, 12,189.47 and 4,854 is: 6,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.78 : 12,189.47 = 4,854 : x
  2. Step 2: Convert to fraction form
    8,832.78/12,189.47 = 4,854/x
  3. Step 3: Cross multiply
    8,832.78x = 12,189.47 × 4,854
  4. Step 4: Simplify right side
    8,832.78x = 59,167,663.11
  5. Step 5: Solve for x
    x = 59,167,663.11/8,832.78
  6. Step 6: Final answer
    x = 6,698.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.