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Finding the Fourth Proportional to 2,386.02, 3,579.03 and 742.13

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Solution

The fourth proportional to 2,386.02, 3,579.03 and 742.13 is: 1,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.02 : 3,579.03 = 742.13 : x
  2. Step 2: Convert to fraction form
    2,386.02/3,579.03 = 742.13/x
  3. Step 3: Cross multiply
    2,386.02x = 3,579.03 × 742.13
  4. Step 4: Simplify right side
    2,386.02x = 2,656,087.64
  5. Step 5: Solve for x
    x = 2,656,087.64/2,386.02
  6. Step 6: Final answer
    x = 1,113.19

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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.