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Finding the Fourth Proportional to 1,948.17, 2,922.29 and 649.64

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Solution

The fourth proportional to 1,948.17, 2,922.29 and 649.64 is: 974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.17 : 2,922.29 = 649.64 : x
  2. Step 2: Convert to fraction form
    1,948.17/2,922.29 = 649.64/x
  3. Step 3: Cross multiply
    1,948.17x = 2,922.29 × 649.64
  4. Step 4: Simplify right side
    1,948.17x = 1,898,440.53
  5. Step 5: Solve for x
    x = 1,898,440.53/1,948.17
  6. Step 6: Final answer
    x = 974.47

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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.