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Finding the Fourth Proportional to 1,947.18, 2,920.47 and 906.36

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Solution

The fourth proportional to 1,947.18, 2,920.47 and 906.36 is: 1,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.18 : 2,920.47 = 906.36 : x
  2. Step 2: Convert to fraction form
    1,947.18/2,920.47 = 906.36/x
  3. Step 3: Cross multiply
    1,947.18x = 2,920.47 × 906.36
  4. Step 4: Simplify right side
    1,947.18x = 2,646,997.19
  5. Step 5: Solve for x
    x = 2,646,997.19/1,947.18
  6. Step 6: Final answer
    x = 1,359.40

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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.