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Finding the Fourth Proportional to 9,868.84, 13,620.54 and 6,335.80

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Solution

The fourth proportional to 9,868.84, 13,620.54 and 6,335.80 is: 8,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.84 : 13,620.54 = 6,335.80 : x
  2. Step 2: Convert to fraction form
    9,868.84/13,620.54 = 6,335.80/x
  3. Step 3: Cross multiply
    9,868.84x = 13,620.54 × 6,335.80
  4. Step 4: Simplify right side
    9,868.84x = 86,297,017.33
  5. Step 5: Solve for x
    x = 86,297,017.33/9,868.84
  6. Step 6: Final answer
    x = 8,744.39

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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.