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Finding the Fourth Proportional to 13,223.87, 19,809.95 and 6,974.49

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Solution

The fourth proportional to 13,223.87, 19,809.95 and 6,974.49 is: 10,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.87 : 19,809.95 = 6,974.49 : x
  2. Step 2: Convert to fraction form
    13,223.87/19,809.95 = 6,974.49/x
  3. Step 3: Cross multiply
    13,223.87x = 19,809.95 × 6,974.49
  4. Step 4: Simplify right side
    13,223.87x = 138,164,263.30
  5. Step 5: Solve for x
    x = 138,164,263.30/13,223.87
  6. Step 6: Final answer
    x = 10,448.10

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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.