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Finding the Fourth Proportional to 30,378.40, 41,948.55 and 19,067.50

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Solution

The fourth proportional to 30,378.40, 41,948.55 and 19,067.50 is: 26,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.40 : 41,948.55 = 19,067.50 : x
  2. Step 2: Convert to fraction form
    30,378.40/41,948.55 = 19,067.50/x
  3. Step 3: Cross multiply
    30,378.40x = 41,948.55 × 19,067.50
  4. Step 4: Simplify right side
    30,378.40x = 799,853,977.13
  5. Step 5: Solve for x
    x = 799,853,977.13/30,378.40
  6. Step 6: Final answer
    x = 26,329.69

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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.