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Finding the Fourth Proportional to 11,377.78, 15,695.34 and 7,834.84

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Solution

The fourth proportional to 11,377.78, 15,695.34 and 7,834.84 is: 10,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.78 : 15,695.34 = 7,834.84 : x
  2. Step 2: Convert to fraction form
    11,377.78/15,695.34 = 7,834.84/x
  3. Step 3: Cross multiply
    11,377.78x = 15,695.34 × 7,834.84
  4. Step 4: Simplify right side
    11,377.78x = 122,970,477.65
  5. Step 5: Solve for x
    x = 122,970,477.65/11,377.78
  6. Step 6: Final answer
    x = 10,807.95

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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.