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Finding the Fourth Proportional to 9,901.62, 13,660.86 and 5,649.63

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Solution

The fourth proportional to 9,901.62, 13,660.86 and 5,649.63 is: 7,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.62 : 13,660.86 = 5,649.63 : x
  2. Step 2: Convert to fraction form
    9,901.62/13,660.86 = 5,649.63/x
  3. Step 3: Cross multiply
    9,901.62x = 13,660.86 × 5,649.63
  4. Step 4: Simplify right side
    9,901.62x = 77,178,774.44
  5. Step 5: Solve for x
    x = 77,178,774.44/9,901.62
  6. Step 6: Final answer
    x = 7,794.56

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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.