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Finding the Fourth Proportional to 2,903.67, 4,007.01 and 1,644.71

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Solution

The fourth proportional to 2,903.67, 4,007.01 and 1,644.71 is: 2,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.67 : 4,007.01 = 1,644.71 : x
  2. Step 2: Convert to fraction form
    2,903.67/4,007.01 = 1,644.71/x
  3. Step 3: Cross multiply
    2,903.67x = 4,007.01 × 1,644.71
  4. Step 4: Simplify right side
    2,903.67x = 6,590,349.38
  5. Step 5: Solve for x
    x = 6,590,349.38/2,903.67
  6. Step 6: Final answer
    x = 2,269.66

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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.