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Finding the Fourth Proportional to 11,344.54, 15,653.22 and 6,868.70

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Solution

The fourth proportional to 11,344.54, 15,653.22 and 6,868.70 is: 9,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.54 : 15,653.22 = 6,868.70 : x
  2. Step 2: Convert to fraction form
    11,344.54/15,653.22 = 6,868.70/x
  3. Step 3: Cross multiply
    11,344.54x = 15,653.22 × 6,868.70
  4. Step 4: Simplify right side
    11,344.54x = 107,517,353.58
  5. Step 5: Solve for x
    x = 107,517,353.58/11,344.54
  6. Step 6: Final answer
    x = 9,477.45

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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.