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Finding the Fourth Proportional to 9,309.60, 13,964.40 and 6,855.30

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Solution

The fourth proportional to 9,309.60, 13,964.40 and 6,855.30 is: 10,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.60 : 13,964.40 = 6,855.30 : x
  2. Step 2: Convert to fraction form
    9,309.60/13,964.40 = 6,855.30/x
  3. Step 3: Cross multiply
    9,309.60x = 13,964.40 × 6,855.30
  4. Step 4: Simplify right side
    9,309.60x = 95,730,151.32
  5. Step 5: Solve for x
    x = 95,730,151.32/9,309.60
  6. Step 6: Final answer
    x = 10,282.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.