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Finding the Fourth Proportional to 5,248.76, 7,874.36 and 1,786

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Solution

The fourth proportional to 5,248.76, 7,874.36 and 1,786 is: 2,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.76 : 7,874.36 = 1,786 : x
  2. Step 2: Convert to fraction form
    5,248.76/7,874.36 = 1,786/x
  3. Step 3: Cross multiply
    5,248.76x = 7,874.36 × 1,786
  4. Step 4: Simplify right side
    5,248.76x = 14,063,606.96
  5. Step 5: Solve for x
    x = 14,063,606.96/5,248.76
  6. Step 6: Final answer
    x = 2,679.42

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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.