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Finding the Fourth Proportional to 1,948.64, 2,922.99 and 650.11

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Solution

The fourth proportional to 1,948.64, 2,922.99 and 650.11 is: 975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.64 : 2,922.99 = 650.11 : x
  2. Step 2: Convert to fraction form
    1,948.64/2,922.99 = 650.11/x
  3. Step 3: Cross multiply
    1,948.64x = 2,922.99 × 650.11
  4. Step 4: Simplify right side
    1,948.64x = 1,900,260.76
  5. Step 5: Solve for x
    x = 1,900,260.76/1,948.64
  6. Step 6: Final answer
    x = 975.17

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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.