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Finding the Fourth Proportional to 2,089.45, 3,134.14 and 508.18

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Solution

The fourth proportional to 2,089.45, 3,134.14 and 508.18 is: 762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.45 : 3,134.14 = 508.18 : x
  2. Step 2: Convert to fraction form
    2,089.45/3,134.14 = 508.18/x
  3. Step 3: Cross multiply
    2,089.45x = 3,134.14 × 508.18
  4. Step 4: Simplify right side
    2,089.45x = 1,592,705.88
  5. Step 5: Solve for x
    x = 1,592,705.88/2,089.45
  6. Step 6: Final answer
    x = 762.26

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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.