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Finding the Fourth Proportional to 5,248.84, 7,873.44 and 1,786

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Solution

The fourth proportional to 5,248.84, 7,873.44 and 1,786 is: 2,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.84 : 7,873.44 = 1,786 : x
  2. Step 2: Convert to fraction form
    5,248.84/7,873.44 = 1,786/x
  3. Step 3: Cross multiply
    5,248.84x = 7,873.44 × 1,786
  4. Step 4: Simplify right side
    5,248.84x = 14,061,963.84
  5. Step 5: Solve for x
    x = 14,061,963.84/5,248.84
  6. Step 6: Final answer
    x = 2,679.06

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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.