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Finding the Fourth Proportional to 2,151.09, 2,969.09 and 1,267.18

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Solution

The fourth proportional to 2,151.09, 2,969.09 and 1,267.18 is: 1,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.09 : 2,969.09 = 1,267.18 : x
  2. Step 2: Convert to fraction form
    2,151.09/2,969.09 = 1,267.18/x
  3. Step 3: Cross multiply
    2,151.09x = 2,969.09 × 1,267.18
  4. Step 4: Simplify right side
    2,151.09x = 3,762,371.47
  5. Step 5: Solve for x
    x = 3,762,371.47/2,151.09
  6. Step 6: Final answer
    x = 1,749.05

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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.