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Finding the Fourth Proportional to 17,922.20, 26,888.70 and 12,738.20

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Solution

The fourth proportional to 17,922.20, 26,888.70 and 12,738.20 is: 19,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.20 : 26,888.70 = 12,738.20 : x
  2. Step 2: Convert to fraction form
    17,922.20/26,888.70 = 12,738.20/x
  3. Step 3: Cross multiply
    17,922.20x = 26,888.70 × 12,738.20
  4. Step 4: Simplify right side
    17,922.20x = 342,513,638.34
  5. Step 5: Solve for x
    x = 342,513,638.34/17,922.20
  6. Step 6: Final answer
    x = 19,111.14

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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.