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Finding the Fourth Proportional to 2,151.74, 2,968.75 and 1,267.22

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Solution

The fourth proportional to 2,151.74, 2,968.75 and 1,267.22 is: 1,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.74 : 2,968.75 = 1,267.22 : x
  2. Step 2: Convert to fraction form
    2,151.74/2,968.75 = 1,267.22/x
  3. Step 3: Cross multiply
    2,151.74x = 2,968.75 × 1,267.22
  4. Step 4: Simplify right side
    2,151.74x = 3,762,059.38
  5. Step 5: Solve for x
    x = 3,762,059.38/2,151.74
  6. Step 6: Final answer
    x = 1,748.38

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1.5x scale

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.