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Finding the Fourth Proportional to 11,392.88, 15,722.78 and 6,678.68

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Solution

The fourth proportional to 11,392.88, 15,722.78 and 6,678.68 is: 9,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.88 : 15,722.78 = 6,678.68 : x
  2. Step 2: Convert to fraction form
    11,392.88/15,722.78 = 6,678.68/x
  3. Step 3: Cross multiply
    11,392.88x = 15,722.78 × 6,678.68
  4. Step 4: Simplify right side
    11,392.88x = 105,007,304.32
  5. Step 5: Solve for x
    x = 105,007,304.32/11,392.88
  6. Step 6: Final answer
    x = 9,216.93

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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.