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Finding the Fourth Proportional to 11,419.63, 15,761.51 and 7,649.11

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Solution

The fourth proportional to 11,419.63, 15,761.51 and 7,649.11 is: 10,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.63 : 15,761.51 = 7,649.11 : x
  2. Step 2: Convert to fraction form
    11,419.63/15,761.51 = 7,649.11/x
  3. Step 3: Cross multiply
    11,419.63x = 15,761.51 × 7,649.11
  4. Step 4: Simplify right side
    11,419.63x = 120,561,511.08
  5. Step 5: Solve for x
    x = 120,561,511.08/11,419.63
  6. Step 6: Final answer
    x = 10,557.39

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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.