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Finding the Fourth Proportional to 19,874.46, 29,803.87 and 7,221.23

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Solution

The fourth proportional to 19,874.46, 29,803.87 and 7,221.23 is: 10,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.46 : 29,803.87 = 7,221.23 : x
  2. Step 2: Convert to fraction form
    19,874.46/29,803.87 = 7,221.23/x
  3. Step 3: Cross multiply
    19,874.46x = 29,803.87 × 7,221.23
  4. Step 4: Simplify right side
    19,874.46x = 215,220,600.16
  5. Step 5: Solve for x
    x = 215,220,600.16/19,874.46
  6. Step 6: Final answer
    x = 10,829.00

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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.