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Finding the Fourth Proportional to 9,718.18, 14,578.68 and 4,788.11

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Solution

The fourth proportional to 9,718.18, 14,578.68 and 4,788.11 is: 7,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.18 : 14,578.68 = 4,788.11 : x
  2. Step 2: Convert to fraction form
    9,718.18/14,578.68 = 4,788.11/x
  3. Step 3: Cross multiply
    9,718.18x = 14,578.68 × 4,788.11
  4. Step 4: Simplify right side
    9,718.18x = 69,804,377.90
  5. Step 5: Solve for x
    x = 69,804,377.90/9,718.18
  6. Step 6: Final answer
    x = 7,182.87

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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.