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Finding the Fourth Proportional to 15,117.70, 22,678.89 and 7,718.15

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Solution

The fourth proportional to 15,117.70, 22,678.89 and 7,718.15 is: 11,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.70 : 22,678.89 = 7,718.15 : x
  2. Step 2: Convert to fraction form
    15,117.70/22,678.89 = 7,718.15/x
  3. Step 3: Cross multiply
    15,117.70x = 22,678.89 × 7,718.15
  4. Step 4: Simplify right side
    15,117.70x = 175,039,074.85
  5. Step 5: Solve for x
    x = 175,039,074.85/15,117.70
  6. Step 6: Final answer
    x = 11,578.42

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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.