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Finding the Fourth Proportional to 2,386.10, 3,579.12 and 742.46

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Solution

The fourth proportional to 2,386.10, 3,579.12 and 742.46 is: 1,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.10 : 3,579.12 = 742.46 : x
  2. Step 2: Convert to fraction form
    2,386.10/3,579.12 = 742.46/x
  3. Step 3: Cross multiply
    2,386.10x = 3,579.12 × 742.46
  4. Step 4: Simplify right side
    2,386.10x = 2,657,353.44
  5. Step 5: Solve for x
    x = 2,657,353.44/2,386.10
  6. Step 6: Final answer
    x = 1,113.68

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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.