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Finding the Fourth Proportional to 5,165.69, 7,748.40 and 1,878.85

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Solution

The fourth proportional to 5,165.69, 7,748.40 and 1,878.85 is: 2,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.69 : 7,748.40 = 1,878.85 : x
  2. Step 2: Convert to fraction form
    5,165.69/7,748.40 = 1,878.85/x
  3. Step 3: Cross multiply
    5,165.69x = 7,748.40 × 1,878.85
  4. Step 4: Simplify right side
    5,165.69x = 14,558,081.34
  5. Step 5: Solve for x
    x = 14,558,081.34/5,165.69
  6. Step 6: Final answer
    x = 2,818.23

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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.