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Finding the Fourth Proportional to 1,947.17, 2,922.16 and 776.49

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Solution

The fourth proportional to 1,947.17, 2,922.16 and 776.49 is: 1,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.17 : 2,922.16 = 776.49 : x
  2. Step 2: Convert to fraction form
    1,947.17/2,922.16 = 776.49/x
  3. Step 3: Cross multiply
    1,947.17x = 2,922.16 × 776.49
  4. Step 4: Simplify right side
    1,947.17x = 2,269,024.14
  5. Step 5: Solve for x
    x = 2,269,024.14/1,947.17
  6. Step 6: Final answer
    x = 1,165.30

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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.