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Finding the Fourth Proportional to 4,778.56, 7,167.03 and 1,315

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Solution

The fourth proportional to 4,778.56, 7,167.03 and 1,315 is: 1,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.56 : 7,167.03 = 1,315 : x
  2. Step 2: Convert to fraction form
    4,778.56/7,167.03 = 1,315/x
  3. Step 3: Cross multiply
    4,778.56x = 7,167.03 × 1,315
  4. Step 4: Simplify right side
    4,778.56x = 9,424,644.45
  5. Step 5: Solve for x
    x = 9,424,644.45/4,778.56
  6. Step 6: Final answer
    x = 1,972.28

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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.