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Finding the Fourth Proportional to 11,178.57, 15,433.65 and 6,934.14

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Solution

The fourth proportional to 11,178.57, 15,433.65 and 6,934.14 is: 9,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.57 : 15,433.65 = 6,934.14 : x
  2. Step 2: Convert to fraction form
    11,178.57/15,433.65 = 6,934.14/x
  3. Step 3: Cross multiply
    11,178.57x = 15,433.65 × 6,934.14
  4. Step 4: Simplify right side
    11,178.57x = 107,019,089.81
  5. Step 5: Solve for x
    x = 107,019,089.81/11,178.57
  6. Step 6: Final answer
    x = 9,573.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.