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Finding the Fourth Proportional to 30,890, 46,335.41 and 10,113.50

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Solution

The fourth proportional to 30,890, 46,335.41 and 10,113.50 is: 15,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890 : 46,335.41 = 10,113.50 : x
  2. Step 2: Convert to fraction form
    30,890/46,335.41 = 10,113.50/x
  3. Step 3: Cross multiply
    30,890x = 46,335.41 × 10,113.50
  4. Step 4: Simplify right side
    30,890x = 468,613,169.04
  5. Step 5: Solve for x
    x = 468,613,169.04/30,890
  6. Step 6: Final answer
    x = 15,170.38

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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.