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Finding the Fourth Proportional to 9,411.98, 14,119.31 and 3,085.50

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Solution

The fourth proportional to 9,411.98, 14,119.31 and 3,085.50 is: 4,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.98 : 14,119.31 = 3,085.50 : x
  2. Step 2: Convert to fraction form
    9,411.98/14,119.31 = 3,085.50/x
  3. Step 3: Cross multiply
    9,411.98x = 14,119.31 × 3,085.50
  4. Step 4: Simplify right side
    9,411.98x = 43,565,115.58
  5. Step 5: Solve for x
    x = 43,565,115.58/9,411.98
  6. Step 6: Final answer
    x = 4,628.69

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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.