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Finding the Fourth Proportional to 9,907.84, 13,684.80 and 7,839.36

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Solution

The fourth proportional to 9,907.84, 13,684.80 and 7,839.36 is: 10,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.84 : 13,684.80 = 7,839.36 : x
  2. Step 2: Convert to fraction form
    9,907.84/13,684.80 = 7,839.36/x
  3. Step 3: Cross multiply
    9,907.84x = 13,684.80 × 7,839.36
  4. Step 4: Simplify right side
    9,907.84x = 107,280,073.73
  5. Step 5: Solve for x
    x = 107,280,073.73/9,907.84
  6. Step 6: Final answer
    x = 10,827.80

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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.