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Finding the Fourth Proportional to 8,392.50, 11,497.82 and 8,077.28

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Solution

The fourth proportional to 8,392.50, 11,497.82 and 8,077.28 is: 11,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.50 : 11,497.82 = 8,077.28 : x
  2. Step 2: Convert to fraction form
    8,392.50/11,497.82 = 8,077.28/x
  3. Step 3: Cross multiply
    8,392.50x = 11,497.82 × 8,077.28
  4. Step 4: Simplify right side
    8,392.50x = 92,871,111.53
  5. Step 5: Solve for x
    x = 92,871,111.53/8,392.50
  6. Step 6: Final answer
    x = 11,065.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.