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Finding the Fourth Proportional to 12,104.64, 18,122.88 and 9,643.20

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Solution

The fourth proportional to 12,104.64, 18,122.88 and 9,643.20 is: 14,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.64 : 18,122.88 = 9,643.20 : x
  2. Step 2: Convert to fraction form
    12,104.64/18,122.88 = 9,643.20/x
  3. Step 3: Cross multiply
    12,104.64x = 18,122.88 × 9,643.20
  4. Step 4: Simplify right side
    12,104.64x = 174,762,556.42
  5. Step 5: Solve for x
    x = 174,762,556.42/12,104.64
  6. Step 6: Final answer
    x = 14,437.65

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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.