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Finding the Fourth Proportional to 9,718.78, 14,579.88 and 6,434.56

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Solution

The fourth proportional to 9,718.78, 14,579.88 and 6,434.56 is: 9,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.78 : 14,579.88 = 6,434.56 : x
  2. Step 2: Convert to fraction form
    9,718.78/14,579.88 = 6,434.56/x
  3. Step 3: Cross multiply
    9,718.78x = 14,579.88 × 6,434.56
  4. Step 4: Simplify right side
    9,718.78x = 93,815,112.65
  5. Step 5: Solve for x
    x = 93,815,112.65/9,718.78
  6. Step 6: Final answer
    x = 9,652.97

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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.