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Finding the Fourth Proportional to 9,991.84, 13,799.88 and 7,780.32

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Solution

The fourth proportional to 9,991.84, 13,799.88 and 7,780.32 is: 10,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.84 : 13,799.88 = 7,780.32 : x
  2. Step 2: Convert to fraction form
    9,991.84/13,799.88 = 7,780.32/x
  3. Step 3: Cross multiply
    9,991.84x = 13,799.88 × 7,780.32
  4. Step 4: Simplify right side
    9,991.84x = 107,367,482.36
  5. Step 5: Solve for x
    x = 107,367,482.36/9,991.84
  6. Step 6: Final answer
    x = 10,745.52

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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.