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Finding the Fourth Proportional to 7,131.69, 10,697.54 and 2,969.10

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Solution

The fourth proportional to 7,131.69, 10,697.54 and 2,969.10 is: 4,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.69 : 10,697.54 = 2,969.10 : x
  2. Step 2: Convert to fraction form
    7,131.69/10,697.54 = 2,969.10/x
  3. Step 3: Cross multiply
    7,131.69x = 10,697.54 × 2,969.10
  4. Step 4: Simplify right side
    7,131.69x = 31,762,051.17
  5. Step 5: Solve for x
    x = 31,762,051.17/7,131.69
  6. Step 6: Final answer
    x = 4,453.65

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Similar ratio
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1.5x scale

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.