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Finding the Fourth Proportional to 1,896.04, 2,845.66 and 972.49

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Solution

The fourth proportional to 1,896.04, 2,845.66 and 972.49 is: 1,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.04 : 2,845.66 = 972.49 : x
  2. Step 2: Convert to fraction form
    1,896.04/2,845.66 = 972.49/x
  3. Step 3: Cross multiply
    1,896.04x = 2,845.66 × 972.49
  4. Step 4: Simplify right side
    1,896.04x = 2,767,378.84
  5. Step 5: Solve for x
    x = 2,767,378.84/1,896.04
  6. Step 6: Final answer
    x = 1,459.55

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Similar ratio
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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.