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Finding the Fourth Proportional to 2,048.68, 3,073.10 and 509.72

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Solution

The fourth proportional to 2,048.68, 3,073.10 and 509.72 is: 764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.68 : 3,073.10 = 509.72 : x
  2. Step 2: Convert to fraction form
    2,048.68/3,073.10 = 509.72/x
  3. Step 3: Cross multiply
    2,048.68x = 3,073.10 × 509.72
  4. Step 4: Simplify right side
    2,048.68x = 1,566,420.53
  5. Step 5: Solve for x
    x = 1,566,420.53/2,048.68
  6. Step 6: Final answer
    x = 764.60

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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.