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Finding the Fourth Proportional to 9,998, 13,798.20 and 6,271.28

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Solution

The fourth proportional to 9,998, 13,798.20 and 6,271.28 is: 8,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998 : 13,798.20 = 6,271.28 : x
  2. Step 2: Convert to fraction form
    9,998/13,798.20 = 6,271.28/x
  3. Step 3: Cross multiply
    9,998x = 13,798.20 × 6,271.28
  4. Step 4: Simplify right side
    9,998x = 86,532,375.70
  5. Step 5: Solve for x
    x = 86,532,375.70/9,998
  6. Step 6: Final answer
    x = 8,654.97

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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.