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Finding the Fourth Proportional to 2,872.17, 4,308.39 and 924.26

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Solution

The fourth proportional to 2,872.17, 4,308.39 and 924.26 is: 1,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.17 : 4,308.39 = 924.26 : x
  2. Step 2: Convert to fraction form
    2,872.17/4,308.39 = 924.26/x
  3. Step 3: Cross multiply
    2,872.17x = 4,308.39 × 924.26
  4. Step 4: Simplify right side
    2,872.17x = 3,982,051.00
  5. Step 5: Solve for x
    x = 3,982,051.00/2,872.17
  6. Step 6: Final answer
    x = 1,386.43

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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.