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Finding the Fourth Proportional to 2,869.74, 4,304.07 and 1,638.54

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Solution

The fourth proportional to 2,869.74, 4,304.07 and 1,638.54 is: 2,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.74 : 4,304.07 = 1,638.54 : x
  2. Step 2: Convert to fraction form
    2,869.74/4,304.07 = 1,638.54/x
  3. Step 3: Cross multiply
    2,869.74x = 4,304.07 × 1,638.54
  4. Step 4: Simplify right side
    2,869.74x = 7,052,390.86
  5. Step 5: Solve for x
    x = 7,052,390.86/2,869.74
  6. Step 6: Final answer
    x = 2,457.50

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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.