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Finding the Fourth Proportional to 7,385.81, 11,074.50 and 5,048.69

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Solution

The fourth proportional to 7,385.81, 11,074.50 and 5,048.69 is: 7,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.81 : 11,074.50 = 5,048.69 : x
  2. Step 2: Convert to fraction form
    7,385.81/11,074.50 = 5,048.69/x
  3. Step 3: Cross multiply
    7,385.81x = 11,074.50 × 5,048.69
  4. Step 4: Simplify right side
    7,385.81x = 55,911,662.03
  5. Step 5: Solve for x
    x = 55,911,662.03/7,385.81
  6. Step 6: Final answer
    x = 7,570.15

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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.