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Finding the Fourth Proportional to 11,410.78, 15,767.00 and 8,780.91

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Solution

The fourth proportional to 11,410.78, 15,767.00 and 8,780.91 is: 12,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.78 : 15,767.00 = 8,780.91 : x
  2. Step 2: Convert to fraction form
    11,410.78/15,767.00 = 8,780.91/x
  3. Step 3: Cross multiply
    11,410.78x = 15,767.00 × 8,780.91
  4. Step 4: Simplify right side
    11,410.78x = 138,448,626.56
  5. Step 5: Solve for x
    x = 138,448,626.56/11,410.78
  6. Step 6: Final answer
    x = 12,133.14

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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.