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Finding the Fourth Proportional to 15,954.11, 23,931.17 and 7,178.78

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Solution

The fourth proportional to 15,954.11, 23,931.17 and 7,178.78 is: 10,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.11 : 23,931.17 = 7,178.78 : x
  2. Step 2: Convert to fraction form
    15,954.11/23,931.17 = 7,178.78/x
  3. Step 3: Cross multiply
    15,954.11x = 23,931.17 × 7,178.78
  4. Step 4: Simplify right side
    15,954.11x = 171,796,502.86
  5. Step 5: Solve for x
    x = 171,796,502.86/15,954.11
  6. Step 6: Final answer
    x = 10,768.16

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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.