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Finding the Fourth Proportional to 2,379.51, 3,569.28 and 648.14

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Solution

The fourth proportional to 2,379.51, 3,569.28 and 648.14 is: 972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.51 : 3,569.28 = 648.14 : x
  2. Step 2: Convert to fraction form
    2,379.51/3,569.28 = 648.14/x
  3. Step 3: Cross multiply
    2,379.51x = 3,569.28 × 648.14
  4. Step 4: Simplify right side
    2,379.51x = 2,313,375.29
  5. Step 5: Solve for x
    x = 2,313,375.29/2,379.51
  6. Step 6: Final answer
    x = 972.21

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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.