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Finding the Fourth Proportional to 7,374.60, 11,065.14 and 3,911

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Solution

The fourth proportional to 7,374.60, 11,065.14 and 3,911 is: 5,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.60 : 11,065.14 = 3,911 : x
  2. Step 2: Convert to fraction form
    7,374.60/11,065.14 = 3,911/x
  3. Step 3: Cross multiply
    7,374.60x = 11,065.14 × 3,911
  4. Step 4: Simplify right side
    7,374.60x = 43,275,762.54
  5. Step 5: Solve for x
    x = 43,275,762.54/7,374.60
  6. Step 6: Final answer
    x = 5,868.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.