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Finding the Fourth Proportional to 4,809.49, 7,204.82 and 4,287.04

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Solution

The fourth proportional to 4,809.49, 7,204.82 and 4,287.04 is: 6,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.49 : 7,204.82 = 4,287.04 : x
  2. Step 2: Convert to fraction form
    4,809.49/7,204.82 = 4,287.04/x
  3. Step 3: Cross multiply
    4,809.49x = 7,204.82 × 4,287.04
  4. Step 4: Simplify right side
    4,809.49x = 30,887,312.09
  5. Step 5: Solve for x
    x = 30,887,312.09/4,809.49
  6. Step 6: Final answer
    x = 6,422.16

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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.