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Finding the Fourth Proportional to 17,880.70, 26,838.71 and 13,422.87

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Solution

The fourth proportional to 17,880.70, 26,838.71 and 13,422.87 is: 20,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.70 : 26,838.71 = 13,422.87 : x
  2. Step 2: Convert to fraction form
    17,880.70/26,838.71 = 13,422.87/x
  3. Step 3: Cross multiply
    17,880.70x = 26,838.71 × 13,422.87
  4. Step 4: Simplify right side
    17,880.70x = 360,252,313.99
  5. Step 5: Solve for x
    x = 360,252,313.99/17,880.70
  6. Step 6: Final answer
    x = 20,147.55

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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.