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Finding the Fourth Proportional to 13,078.80, 19,605.40 and 11,696.40

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Solution

The fourth proportional to 13,078.80, 19,605.40 and 11,696.40 is: 17,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.80 : 19,605.40 = 11,696.40 : x
  2. Step 2: Convert to fraction form
    13,078.80/19,605.40 = 11,696.40/x
  3. Step 3: Cross multiply
    13,078.80x = 19,605.40 × 11,696.40
  4. Step 4: Simplify right side
    13,078.80x = 229,312,600.56
  5. Step 5: Solve for x
    x = 229,312,600.56/13,078.80
  6. Step 6: Final answer
    x = 17,533.15

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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.