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Finding the Fourth Proportional to 19,758.39, 29,621.34 and 9,223.20

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Solution

The fourth proportional to 19,758.39, 29,621.34 and 9,223.20 is: 13,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.39 : 29,621.34 = 9,223.20 : x
  2. Step 2: Convert to fraction form
    19,758.39/29,621.34 = 9,223.20/x
  3. Step 3: Cross multiply
    19,758.39x = 29,621.34 × 9,223.20
  4. Step 4: Simplify right side
    19,758.39x = 273,203,543.09
  5. Step 5: Solve for x
    x = 273,203,543.09/19,758.39
  6. Step 6: Final answer
    x = 13,827.22

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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.