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Finding the Fourth Proportional to 9,918.53, 14,878.14 and 3,344.78

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Solution

The fourth proportional to 9,918.53, 14,878.14 and 3,344.78 is: 5,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.53 : 14,878.14 = 3,344.78 : x
  2. Step 2: Convert to fraction form
    9,918.53/14,878.14 = 3,344.78/x
  3. Step 3: Cross multiply
    9,918.53x = 14,878.14 × 3,344.78
  4. Step 4: Simplify right side
    9,918.53x = 49,764,030.72
  5. Step 5: Solve for x
    x = 49,764,030.72/9,918.53
  6. Step 6: Final answer
    x = 5,017.28

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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.