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Finding the Fourth Proportional to 10,178.48, 15,266.99 and 3,158.31

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Solution

The fourth proportional to 10,178.48, 15,266.99 and 3,158.31 is: 4,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.48 : 15,266.99 = 3,158.31 : x
  2. Step 2: Convert to fraction form
    10,178.48/15,266.99 = 3,158.31/x
  3. Step 3: Cross multiply
    10,178.48x = 15,266.99 × 3,158.31
  4. Step 4: Simplify right side
    10,178.48x = 48,217,871.40
  5. Step 5: Solve for x
    x = 48,217,871.40/10,178.48
  6. Step 6: Final answer
    x = 4,737.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.