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Finding the Fourth Proportional to 13,098.40, 19,647.60 and 7,914.40

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Solution

The fourth proportional to 13,098.40, 19,647.60 and 7,914.40 is: 11,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.40 : 19,647.60 = 7,914.40 : x
  2. Step 2: Convert to fraction form
    13,098.40/19,647.60 = 7,914.40/x
  3. Step 3: Cross multiply
    13,098.40x = 19,647.60 × 7,914.40
  4. Step 4: Simplify right side
    13,098.40x = 155,498,965.44
  5. Step 5: Solve for x
    x = 155,498,965.44/13,098.40
  6. Step 6: Final answer
    x = 11,871.60

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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.