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Finding the Fourth Proportional to 11,891.18, 16,420.95 and 7,649.62

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Solution

The fourth proportional to 11,891.18, 16,420.95 and 7,649.62 is: 10,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.18 : 16,420.95 = 7,649.62 : x
  2. Step 2: Convert to fraction form
    11,891.18/16,420.95 = 7,649.62/x
  3. Step 3: Cross multiply
    11,891.18x = 16,420.95 × 7,649.62
  4. Step 4: Simplify right side
    11,891.18x = 125,613,986.49
  5. Step 5: Solve for x
    x = 125,613,986.49/11,891.18
  6. Step 6: Final answer
    x = 10,563.62

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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.