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Finding the Fourth Proportional to 1,947.16, 2,919.99 and 648.28

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Solution

The fourth proportional to 1,947.16, 2,919.99 and 648.28 is: 972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.16 : 2,919.99 = 648.28 : x
  2. Step 2: Convert to fraction form
    1,947.16/2,919.99 = 648.28/x
  3. Step 3: Cross multiply
    1,947.16x = 2,919.99 × 648.28
  4. Step 4: Simplify right side
    1,947.16x = 1,892,971.12
  5. Step 5: Solve for x
    x = 1,892,971.12/1,947.16
  6. Step 6: Final answer
    x = 972.17

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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.