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Finding the Fourth Proportional to 30,657.62, 45,976.71 and 13,122.74

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Solution

The fourth proportional to 30,657.62, 45,976.71 and 13,122.74 is: 19,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.62 : 45,976.71 = 13,122.74 : x
  2. Step 2: Convert to fraction form
    30,657.62/45,976.71 = 13,122.74/x
  3. Step 3: Cross multiply
    30,657.62x = 45,976.71 × 13,122.74
  4. Step 4: Simplify right side
    30,657.62x = 603,340,411.39
  5. Step 5: Solve for x
    x = 603,340,411.39/30,657.62
  6. Step 6: Final answer
    x = 19,679.95

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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.