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Finding the Fourth Proportional to 2,188.74, 3,283.10 and 649.74

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Solution

The fourth proportional to 2,188.74, 3,283.10 and 649.74 is: 974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.74 : 3,283.10 = 649.74 : x
  2. Step 2: Convert to fraction form
    2,188.74/3,283.10 = 649.74/x
  3. Step 3: Cross multiply
    2,188.74x = 3,283.10 × 649.74
  4. Step 4: Simplify right side
    2,188.74x = 2,133,150.71
  5. Step 5: Solve for x
    x = 2,133,150.71/2,188.74
  6. Step 6: Final answer
    x = 974.60

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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.