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Finding the Fourth Proportional to 11,641.40, 16,059.93 and 7,761.71

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Solution

The fourth proportional to 11,641.40, 16,059.93 and 7,761.71 is: 10,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.40 : 16,059.93 = 7,761.71 : x
  2. Step 2: Convert to fraction form
    11,641.40/16,059.93 = 7,761.71/x
  3. Step 3: Cross multiply
    11,641.40x = 16,059.93 × 7,761.71
  4. Step 4: Simplify right side
    11,641.40x = 124,652,519.28
  5. Step 5: Solve for x
    x = 124,652,519.28/11,641.40
  6. Step 6: Final answer
    x = 10,707.69

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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.