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Finding the Fourth Proportional to 2,045, 3,061.90 and 1,429.32

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Solution

The fourth proportional to 2,045, 3,061.90 and 1,429.32 is: 2,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045 : 3,061.90 = 1,429.32 : x
  2. Step 2: Convert to fraction form
    2,045/3,061.90 = 1,429.32/x
  3. Step 3: Cross multiply
    2,045x = 3,061.90 × 1,429.32
  4. Step 4: Simplify right side
    2,045x = 4,376,434.91
  5. Step 5: Solve for x
    x = 4,376,434.91/2,045
  6. Step 6: Final answer
    x = 2,140.07

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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.