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Finding the Fourth Proportional to 2,173.74, 2,999.53 and 1,229.63

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Solution

The fourth proportional to 2,173.74, 2,999.53 and 1,229.63 is: 1,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.74 : 2,999.53 = 1,229.63 : x
  2. Step 2: Convert to fraction form
    2,173.74/2,999.53 = 1,229.63/x
  3. Step 3: Cross multiply
    2,173.74x = 2,999.53 × 1,229.63
  4. Step 4: Simplify right side
    2,173.74x = 3,688,315.49
  5. Step 5: Solve for x
    x = 3,688,315.49/2,173.74
  6. Step 6: Final answer
    x = 1,696.76

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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.