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Finding the Fourth Proportional to 30,761.40, 46,138.86 and 13,228.68

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Solution

The fourth proportional to 30,761.40, 46,138.86 and 13,228.68 is: 19,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.40 : 46,138.86 = 13,228.68 : x
  2. Step 2: Convert to fraction form
    30,761.40/46,138.86 = 13,228.68/x
  3. Step 3: Cross multiply
    30,761.40x = 46,138.86 × 13,228.68
  4. Step 4: Simplify right side
    30,761.40x = 610,356,214.50
  5. Step 5: Solve for x
    x = 610,356,214.50/30,761.40
  6. Step 6: Final answer
    x = 19,841.63

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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.