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Finding the Fourth Proportional to 8,768.16, 12,096 and 5,040

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Solution

The fourth proportional to 8,768.16, 12,096 and 5,040 is: 6,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.16 : 12,096 = 5,040 : x
  2. Step 2: Convert to fraction form
    8,768.16/12,096 = 5,040/x
  3. Step 3: Cross multiply
    8,768.16x = 12,096 × 5,040
  4. Step 4: Simplify right side
    8,768.16x = 60,963,840
  5. Step 5: Solve for x
    x = 60,963,840/8,768.16
  6. Step 6: Final answer
    x = 6,952.87

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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.