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Finding the Fourth Proportional to 1,965.60, 2,947.78 and 649.11

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Solution

The fourth proportional to 1,965.60, 2,947.78 and 649.11 is: 973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.60 : 2,947.78 = 649.11 : x
  2. Step 2: Convert to fraction form
    1,965.60/2,947.78 = 649.11/x
  3. Step 3: Cross multiply
    1,965.60x = 2,947.78 × 649.11
  4. Step 4: Simplify right side
    1,965.60x = 1,913,426.33
  5. Step 5: Solve for x
    x = 1,913,426.33/1,965.60
  6. Step 6: Final answer
    x = 973.46

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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.