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Finding the Fourth Proportional to 7,011, 10,518.36 and 3,114.52

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Solution

The fourth proportional to 7,011, 10,518.36 and 3,114.52 is: 4,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011 : 10,518.36 = 3,114.52 : x
  2. Step 2: Convert to fraction form
    7,011/10,518.36 = 3,114.52/x
  3. Step 3: Cross multiply
    7,011x = 10,518.36 × 3,114.52
  4. Step 4: Simplify right side
    7,011x = 32,759,642.59
  5. Step 5: Solve for x
    x = 32,759,642.59/7,011
  6. Step 6: Final answer
    x = 4,672.61

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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.