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Finding the Fourth Proportional to 7,041.48, 9,716.81 and 3,897.74

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Solution

The fourth proportional to 7,041.48, 9,716.81 and 3,897.74 is: 5,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.48 : 9,716.81 = 3,897.74 : x
  2. Step 2: Convert to fraction form
    7,041.48/9,716.81 = 3,897.74/x
  3. Step 3: Cross multiply
    7,041.48x = 9,716.81 × 3,897.74
  4. Step 4: Simplify right side
    7,041.48x = 37,873,530.94
  5. Step 5: Solve for x
    x = 37,873,530.94/7,041.48
  6. Step 6: Final answer
    x = 5,378.63

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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.