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Finding the Fourth Proportional to 12,643.20, 18,964.80 and 11,282.40

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Solution

The fourth proportional to 12,643.20, 18,964.80 and 11,282.40 is: 16,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.20 : 18,964.80 = 11,282.40 : x
  2. Step 2: Convert to fraction form
    12,643.20/18,964.80 = 11,282.40/x
  3. Step 3: Cross multiply
    12,643.20x = 18,964.80 × 11,282.40
  4. Step 4: Simplify right side
    12,643.20x = 213,968,459.52
  5. Step 5: Solve for x
    x = 213,968,459.52/12,643.20
  6. Step 6: Final answer
    x = 16,923.60

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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.