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Finding the Fourth Proportional to 19,777.69, 29,649.93 and 15,414.49

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Solution

The fourth proportional to 19,777.69, 29,649.93 and 15,414.49 is: 23,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.69 : 29,649.93 = 15,414.49 : x
  2. Step 2: Convert to fraction form
    19,777.69/29,649.93 = 15,414.49/x
  3. Step 3: Cross multiply
    19,777.69x = 29,649.93 × 15,414.49
  4. Step 4: Simplify right side
    19,777.69x = 457,038,549.49
  5. Step 5: Solve for x
    x = 457,038,549.49/19,777.69
  6. Step 6: Final answer
    x = 23,108.79

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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.