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Finding the Fourth Proportional to 9,879, 14,818.50 and 4,035.61

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Solution

The fourth proportional to 9,879, 14,818.50 and 4,035.61 is: 6,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879 : 14,818.50 = 4,035.61 : x
  2. Step 2: Convert to fraction form
    9,879/14,818.50 = 4,035.61/x
  3. Step 3: Cross multiply
    9,879x = 14,818.50 × 4,035.61
  4. Step 4: Simplify right side
    9,879x = 59,801,686.79
  5. Step 5: Solve for x
    x = 59,801,686.79/9,879
  6. Step 6: Final answer
    x = 6,053.42

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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.