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Finding the Fourth Proportional to 9,920.75, 14,878.08 and 3,345.17

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Solution

The fourth proportional to 9,920.75, 14,878.08 and 3,345.17 is: 5,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.75 : 14,878.08 = 3,345.17 : x
  2. Step 2: Convert to fraction form
    9,920.75/14,878.08 = 3,345.17/x
  3. Step 3: Cross multiply
    9,920.75x = 14,878.08 × 3,345.17
  4. Step 4: Simplify right side
    9,920.75x = 49,769,632.48
  5. Step 5: Solve for x
    x = 49,769,632.48/9,920.75
  6. Step 6: Final answer
    x = 5,016.72

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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.