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Finding the Fourth Proportional to 3,113.68, 4,670.08 and 921.84

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Solution

The fourth proportional to 3,113.68, 4,670.08 and 921.84 is: 1,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.68 : 4,670.08 = 921.84 : x
  2. Step 2: Convert to fraction form
    3,113.68/4,670.08 = 921.84/x
  3. Step 3: Cross multiply
    3,113.68x = 4,670.08 × 921.84
  4. Step 4: Simplify right side
    3,113.68x = 4,305,066.55
  5. Step 5: Solve for x
    x = 4,305,066.55/3,113.68
  6. Step 6: Final answer
    x = 1,382.63

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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.