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Finding the Fourth Proportional to 13,890, 19,169.20 and 9,166.08

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Solution

The fourth proportional to 13,890, 19,169.20 and 9,166.08 is: 12,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890 : 19,169.20 = 9,166.08 : x
  2. Step 2: Convert to fraction form
    13,890/19,169.20 = 9,166.08/x
  3. Step 3: Cross multiply
    13,890x = 19,169.20 × 9,166.08
  4. Step 4: Simplify right side
    13,890x = 175,706,420.74
  5. Step 5: Solve for x
    x = 175,706,420.74/13,890
  6. Step 6: Final answer
    x = 12,649.85

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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.