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Finding the Fourth Proportional to 5,251.64, 7,878.47 and 2,329.97

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Solution

The fourth proportional to 5,251.64, 7,878.47 and 2,329.97 is: 3,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.64 : 7,878.47 = 2,329.97 : x
  2. Step 2: Convert to fraction form
    5,251.64/7,878.47 = 2,329.97/x
  3. Step 3: Cross multiply
    5,251.64x = 7,878.47 × 2,329.97
  4. Step 4: Simplify right side
    5,251.64x = 18,356,547.70
  5. Step 5: Solve for x
    x = 18,356,547.70/5,251.64
  6. Step 6: Final answer
    x = 3,495.40

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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.