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Finding the Fourth Proportional to 9,918.24, 14,878.08 and 3,342.24

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Solution

The fourth proportional to 9,918.24, 14,878.08 and 3,342.24 is: 5,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.24 : 14,878.08 = 3,342.24 : x
  2. Step 2: Convert to fraction form
    9,918.24/14,878.08 = 3,342.24/x
  3. Step 3: Cross multiply
    9,918.24x = 14,878.08 × 3,342.24
  4. Step 4: Simplify right side
    9,918.24x = 49,726,114.10
  5. Step 5: Solve for x
    x = 49,726,114.10/9,918.24
  6. Step 6: Final answer
    x = 5,013.60

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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.