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Finding the Fourth Proportional to 2,386.43, 3,579.02 and 742.13

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Solution

The fourth proportional to 2,386.43, 3,579.02 and 742.13 is: 1,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.43 : 3,579.02 = 742.13 : x
  2. Step 2: Convert to fraction form
    2,386.43/3,579.02 = 742.13/x
  3. Step 3: Cross multiply
    2,386.43x = 3,579.02 × 742.13
  4. Step 4: Simplify right side
    2,386.43x = 2,656,076.51
  5. Step 5: Solve for x
    x = 2,656,076.51/2,386.43
  6. Step 6: Final answer
    x = 1,112.99

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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.