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Finding the Fourth Proportional to 2,903.78, 4,007.13 and 2,121.14

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Solution

The fourth proportional to 2,903.78, 4,007.13 and 2,121.14 is: 2,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.78 : 4,007.13 = 2,121.14 : x
  2. Step 2: Convert to fraction form
    2,903.78/4,007.13 = 2,121.14/x
  3. Step 3: Cross multiply
    2,903.78x = 4,007.13 × 2,121.14
  4. Step 4: Simplify right side
    2,903.78x = 8,499,683.73
  5. Step 5: Solve for x
    x = 8,499,683.73/2,903.78
  6. Step 6: Final answer
    x = 2,927.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.