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Finding the Fourth Proportional to 1,882.64, 2,823.78 and 650.14

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Solution

The fourth proportional to 1,882.64, 2,823.78 and 650.14 is: 975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.64 : 2,823.78 = 650.14 : x
  2. Step 2: Convert to fraction form
    1,882.64/2,823.78 = 650.14/x
  3. Step 3: Cross multiply
    1,882.64x = 2,823.78 × 650.14
  4. Step 4: Simplify right side
    1,882.64x = 1,835,852.33
  5. Step 5: Solve for x
    x = 1,835,852.33/1,882.64
  6. Step 6: Final answer
    x = 975.15

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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.