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Finding the Fourth Proportional to 7,065.71, 9,750.70 and 3,921.90

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Solution

The fourth proportional to 7,065.71, 9,750.70 and 3,921.90 is: 5,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.71 : 9,750.70 = 3,921.90 : x
  2. Step 2: Convert to fraction form
    7,065.71/9,750.70 = 3,921.90/x
  3. Step 3: Cross multiply
    7,065.71x = 9,750.70 × 3,921.90
  4. Step 4: Simplify right side
    7,065.71x = 38,241,238.67
  5. Step 5: Solve for x
    x = 38,241,238.67/7,065.71
  6. Step 6: Final answer
    x = 5,412.23

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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.