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Finding the Fourth Proportional to 9,878.40, 14,815.44 and 2,858.40

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Solution

The fourth proportional to 9,878.40, 14,815.44 and 2,858.40 is: 4,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.40 : 14,815.44 = 2,858.40 : x
  2. Step 2: Convert to fraction form
    9,878.40/14,815.44 = 2,858.40/x
  3. Step 3: Cross multiply
    9,878.40x = 14,815.44 × 2,858.40
  4. Step 4: Simplify right side
    9,878.40x = 42,348,453.70
  5. Step 5: Solve for x
    x = 42,348,453.70/9,878.40
  6. Step 6: Final answer
    x = 4,286.97

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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.