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Finding the Fourth Proportional to 6,991.58, 9,649.76 and 4,009.43

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Solution

The fourth proportional to 6,991.58, 9,649.76 and 4,009.43 is: 5,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.58 : 9,649.76 = 4,009.43 : x
  2. Step 2: Convert to fraction form
    6,991.58/9,649.76 = 4,009.43/x
  3. Step 3: Cross multiply
    6,991.58x = 9,649.76 × 4,009.43
  4. Step 4: Simplify right side
    6,991.58x = 38,689,968.94
  5. Step 5: Solve for x
    x = 38,689,968.94/6,991.58
  6. Step 6: Final answer
    x = 5,533.80

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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.