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Finding the Fourth Proportional to 11,970.90, 17,931.78 and 7,025.58

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Solution

The fourth proportional to 11,970.90, 17,931.78 and 7,025.58 is: 10,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.90 : 17,931.78 = 7,025.58 : x
  2. Step 2: Convert to fraction form
    11,970.90/17,931.78 = 7,025.58/x
  3. Step 3: Cross multiply
    11,970.90x = 17,931.78 × 7,025.58
  4. Step 4: Simplify right side
    11,970.90x = 125,981,154.93
  5. Step 5: Solve for x
    x = 125,981,154.93/11,970.90
  6. Step 6: Final answer
    x = 10,523.95

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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.