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Finding the Fourth Proportional to 9,882, 13,639.59 and 5,692.68

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Solution

The fourth proportional to 9,882, 13,639.59 and 5,692.68 is: 7,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882 : 13,639.59 = 5,692.68 : x
  2. Step 2: Convert to fraction form
    9,882/13,639.59 = 5,692.68/x
  3. Step 3: Cross multiply
    9,882x = 13,639.59 × 5,692.68
  4. Step 4: Simplify right side
    9,882x = 77,645,821.20
  5. Step 5: Solve for x
    x = 77,645,821.20/9,882
  6. Step 6: Final answer
    x = 7,857.30

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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.