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Finding the Fourth Proportional to 1,947.42, 2,920.05 and 777.33

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Solution

The fourth proportional to 1,947.42, 2,920.05 and 777.33 is: 1,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.42 : 2,920.05 = 777.33 : x
  2. Step 2: Convert to fraction form
    1,947.42/2,920.05 = 777.33/x
  3. Step 3: Cross multiply
    1,947.42x = 2,920.05 × 777.33
  4. Step 4: Simplify right side
    1,947.42x = 2,269,842.47
  5. Step 5: Solve for x
    x = 2,269,842.47/1,947.42
  6. Step 6: Final answer
    x = 1,165.56

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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.