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Finding the Fourth Proportional to 3,287.43, 4,931.10 and 822.24

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Solution

The fourth proportional to 3,287.43, 4,931.10 and 822.24 is: 1,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.43 : 4,931.10 = 822.24 : x
  2. Step 2: Convert to fraction form
    3,287.43/4,931.10 = 822.24/x
  3. Step 3: Cross multiply
    3,287.43x = 4,931.10 × 822.24
  4. Step 4: Simplify right side
    3,287.43x = 4,054,547.66
  5. Step 5: Solve for x
    x = 4,054,547.66/3,287.43
  6. Step 6: Final answer
    x = 1,233.35

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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.