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Finding the Fourth Proportional to 6,988, 9,640.16 and 5,096.80

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Solution

The fourth proportional to 6,988, 9,640.16 and 5,096.80 is: 7,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988 : 9,640.16 = 5,096.80 : x
  2. Step 2: Convert to fraction form
    6,988/9,640.16 = 5,096.80/x
  3. Step 3: Cross multiply
    6,988x = 9,640.16 × 5,096.80
  4. Step 4: Simplify right side
    6,988x = 49,133,967.49
  5. Step 5: Solve for x
    x = 49,133,967.49/6,988
  6. Step 6: Final answer
    x = 7,031.19

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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.