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Finding the Fourth Proportional to 13,163.60, 19,788.60 and 9,294.80

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Solution

The fourth proportional to 13,163.60, 19,788.60 and 9,294.80 is: 13,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.60 : 19,788.60 = 9,294.80 : x
  2. Step 2: Convert to fraction form
    13,163.60/19,788.60 = 9,294.80/x
  3. Step 3: Cross multiply
    13,163.60x = 19,788.60 × 9,294.80
  4. Step 4: Simplify right side
    13,163.60x = 183,931,079.28
  5. Step 5: Solve for x
    x = 183,931,079.28/13,163.60
  6. Step 6: Final answer
    x = 13,972.70

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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.