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Finding the Fourth Proportional to 12,193.47, 18,287.47 and 7,975.40

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Solution

The fourth proportional to 12,193.47, 18,287.47 and 7,975.40 is: 11,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.47 : 18,287.47 = 7,975.40 : x
  2. Step 2: Convert to fraction form
    12,193.47/18,287.47 = 7,975.40/x
  3. Step 3: Cross multiply
    12,193.47x = 18,287.47 × 7,975.40
  4. Step 4: Simplify right side
    12,193.47x = 145,849,806.77
  5. Step 5: Solve for x
    x = 145,849,806.77/12,193.47
  6. Step 6: Final answer
    x = 11,961.30

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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.