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Finding the Fourth Proportional to 1,845.32, 2,769.80 and 979.63

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Solution

The fourth proportional to 1,845.32, 2,769.80 and 979.63 is: 1,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.32 : 2,769.80 = 979.63 : x
  2. Step 2: Convert to fraction form
    1,845.32/2,769.80 = 979.63/x
  3. Step 3: Cross multiply
    1,845.32x = 2,769.80 × 979.63
  4. Step 4: Simplify right side
    1,845.32x = 2,713,360.43
  5. Step 5: Solve for x
    x = 2,713,360.43/1,845.32
  6. Step 6: Final answer
    x = 1,470.41

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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.