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Finding the Fourth Proportional to 2,049.05, 3,073.58 and 510.05

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Solution

The fourth proportional to 2,049.05, 3,073.58 and 510.05 is: 765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.05 : 3,073.58 = 510.05 : x
  2. Step 2: Convert to fraction form
    2,049.05/3,073.58 = 510.05/x
  3. Step 3: Cross multiply
    2,049.05x = 3,073.58 × 510.05
  4. Step 4: Simplify right side
    2,049.05x = 1,567,686.53
  5. Step 5: Solve for x
    x = 1,567,686.53/2,049.05
  6. Step 6: Final answer
    x = 765.08

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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.