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Finding the Fourth Proportional to 5,255.04, 7,877.16 and 1,789.68

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Solution

The fourth proportional to 5,255.04, 7,877.16 and 1,789.68 is: 2,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.04 : 7,877.16 = 1,789.68 : x
  2. Step 2: Convert to fraction form
    5,255.04/7,877.16 = 1,789.68/x
  3. Step 3: Cross multiply
    5,255.04x = 7,877.16 × 1,789.68
  4. Step 4: Simplify right side
    5,255.04x = 14,097,595.71
  5. Step 5: Solve for x
    x = 14,097,595.71/5,255.04
  6. Step 6: Final answer
    x = 2,682.68

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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.