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Finding the Fourth Proportional to 30,367.71, 45,535.77 and 13,719.78

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Solution

The fourth proportional to 30,367.71, 45,535.77 and 13,719.78 is: 20,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,367.71 : 45,535.77 = 13,719.78 : x
  2. Step 2: Convert to fraction form
    30,367.71/45,535.77 = 13,719.78/x
  3. Step 3: Cross multiply
    30,367.71x = 45,535.77 × 13,719.78
  4. Step 4: Simplify right side
    30,367.71x = 624,740,746.53
  5. Step 5: Solve for x
    x = 624,740,746.53/30,367.71
  6. Step 6: Final answer
    x = 20,572.53

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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.