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Finding the Fourth Proportional to 30,463.48, 42,027.42 and 19,279

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Solution

The fourth proportional to 30,463.48, 42,027.42 and 19,279 is: 26,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.48 : 42,027.42 = 19,279 : x
  2. Step 2: Convert to fraction form
    30,463.48/42,027.42 = 19,279/x
  3. Step 3: Cross multiply
    30,463.48x = 42,027.42 × 19,279
  4. Step 4: Simplify right side
    30,463.48x = 810,246,630.18
  5. Step 5: Solve for x
    x = 810,246,630.18/30,463.48
  6. Step 6: Final answer
    x = 26,597.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.