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Finding the Fourth Proportional to 2,334.10, 3,498.90 and 1,345.90

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Solution

The fourth proportional to 2,334.10, 3,498.90 and 1,345.90 is: 2,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.10 : 3,498.90 = 1,345.90 : x
  2. Step 2: Convert to fraction form
    2,334.10/3,498.90 = 1,345.90/x
  3. Step 3: Cross multiply
    2,334.10x = 3,498.90 × 1,345.90
  4. Step 4: Simplify right side
    2,334.10x = 4,709,169.51
  5. Step 5: Solve for x
    x = 4,709,169.51/2,334.10
  6. Step 6: Final answer
    x = 2,017.55

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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.