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Finding the Fourth Proportional to 10,141.65, 15,212.88 and 8,178.89

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Solution

The fourth proportional to 10,141.65, 15,212.88 and 8,178.89 is: 12,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.65 : 15,212.88 = 8,178.89 : x
  2. Step 2: Convert to fraction form
    10,141.65/15,212.88 = 8,178.89/x
  3. Step 3: Cross multiply
    10,141.65x = 15,212.88 × 8,178.89
  4. Step 4: Simplify right side
    10,141.65x = 124,424,396.04
  5. Step 5: Solve for x
    x = 124,424,396.04/10,141.65
  6. Step 6: Final answer
    x = 12,268.65

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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.