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Finding the Fourth Proportional to 12,294.79, 18,430.94 and 5,627.88

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Solution

The fourth proportional to 12,294.79, 18,430.94 and 5,627.88 is: 8,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.79 : 18,430.94 = 5,627.88 : x
  2. Step 2: Convert to fraction form
    12,294.79/18,430.94 = 5,627.88/x
  3. Step 3: Cross multiply
    12,294.79x = 18,430.94 × 5,627.88
  4. Step 4: Simplify right side
    12,294.79x = 103,727,132.68
  5. Step 5: Solve for x
    x = 103,727,132.68/12,294.79
  6. Step 6: Final answer
    x = 8,436.68

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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.