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Finding the Fourth Proportional to 2,872.02, 4,308.48 and 924.42

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Solution

The fourth proportional to 2,872.02, 4,308.48 and 924.42 is: 1,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.02 : 4,308.48 = 924.42 : x
  2. Step 2: Convert to fraction form
    2,872.02/4,308.48 = 924.42/x
  3. Step 3: Cross multiply
    2,872.02x = 4,308.48 × 924.42
  4. Step 4: Simplify right side
    2,872.02x = 3,982,845.08
  5. Step 5: Solve for x
    x = 3,982,845.08/2,872.02
  6. Step 6: Final answer
    x = 1,386.77

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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.