Home / 2,497.10-3,742.05-1,109.30

Finding the Fourth Proportional to 2,497.10, 3,742.05 and 1,109.30

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Solution

The fourth proportional to 2,497.10, 3,742.05 and 1,109.30 is: 1,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.10 : 3,742.05 = 1,109.30 : x
  2. Step 2: Convert to fraction form
    2,497.10/3,742.05 = 1,109.30/x
  3. Step 3: Cross multiply
    2,497.10x = 3,742.05 × 1,109.30
  4. Step 4: Simplify right side
    2,497.10x = 4,151,056.07
  5. Step 5: Solve for x
    x = 4,151,056.07/2,497.10
  6. Step 6: Final answer
    x = 1,662.35

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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.