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Finding the Fourth Proportional to 9,918, 14,880.22 and 7,734.24

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Solution

The fourth proportional to 9,918, 14,880.22 and 7,734.24 is: 11,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918 : 14,880.22 = 7,734.24 : x
  2. Step 2: Convert to fraction form
    9,918/14,880.22 = 7,734.24/x
  3. Step 3: Cross multiply
    9,918x = 14,880.22 × 7,734.24
  4. Step 4: Simplify right side
    9,918x = 115,087,192.73
  5. Step 5: Solve for x
    x = 115,087,192.73/9,918
  6. Step 6: Final answer
    x = 11,603.87

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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.