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Finding the Fourth Proportional to 5,251.78, 7,875.82 and 1,553.03

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Solution

The fourth proportional to 5,251.78, 7,875.82 and 1,553.03 is: 2,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.78 : 7,875.82 = 1,553.03 : x
  2. Step 2: Convert to fraction form
    5,251.78/7,875.82 = 1,553.03/x
  3. Step 3: Cross multiply
    5,251.78x = 7,875.82 × 1,553.03
  4. Step 4: Simplify right side
    5,251.78x = 12,231,384.73
  5. Step 5: Solve for x
    x = 12,231,384.73/5,251.78
  6. Step 6: Final answer
    x = 2,329.00

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1.5x scale

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.