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Finding the Fourth Proportional to 12,884.40, 19,283.40 and 11,329.20

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Solution

The fourth proportional to 12,884.40, 19,283.40 and 11,329.20 is: 16,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.40 : 19,283.40 = 11,329.20 : x
  2. Step 2: Convert to fraction form
    12,884.40/19,283.40 = 11,329.20/x
  3. Step 3: Cross multiply
    12,884.40x = 19,283.40 × 11,329.20
  4. Step 4: Simplify right side
    12,884.40x = 218,465,495.28
  5. Step 5: Solve for x
    x = 218,465,495.28/12,884.40
  6. Step 6: Final answer
    x = 16,955.81

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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.