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Finding the Fourth Proportional to 6,986.70, 9,640.12 and 5,098.72

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Solution

The fourth proportional to 6,986.70, 9,640.12 and 5,098.72 is: 7,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.70 : 9,640.12 = 5,098.72 : x
  2. Step 2: Convert to fraction form
    6,986.70/9,640.12 = 5,098.72/x
  3. Step 3: Cross multiply
    6,986.70x = 9,640.12 × 5,098.72
  4. Step 4: Simplify right side
    6,986.70x = 49,152,272.65
  5. Step 5: Solve for x
    x = 49,152,272.65/6,986.70
  6. Step 6: Final answer
    x = 7,035.12

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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.