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Finding the Fourth Proportional to 5,251.76, 7,878.84 and 1,789

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Solution

The fourth proportional to 5,251.76, 7,878.84 and 1,789 is: 2,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.76 : 7,878.84 = 1,789 : x
  2. Step 2: Convert to fraction form
    5,251.76/7,878.84 = 1,789/x
  3. Step 3: Cross multiply
    5,251.76x = 7,878.84 × 1,789
  4. Step 4: Simplify right side
    5,251.76x = 14,095,244.76
  5. Step 5: Solve for x
    x = 14,095,244.76/5,251.76
  6. Step 6: Final answer
    x = 2,683.91

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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.