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Finding the Fourth Proportional to 5,248.02, 7,872.84 and 1,785

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Solution

The fourth proportional to 5,248.02, 7,872.84 and 1,785 is: 2,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.02 : 7,872.84 = 1,785 : x
  2. Step 2: Convert to fraction form
    5,248.02/7,872.84 = 1,785/x
  3. Step 3: Cross multiply
    5,248.02x = 7,872.84 × 1,785
  4. Step 4: Simplify right side
    5,248.02x = 14,053,019.40
  5. Step 5: Solve for x
    x = 14,053,019.40/5,248.02
  6. Step 6: Final answer
    x = 2,677.78

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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.