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Finding the Fourth Proportional to 2,048.35, 3,072.52 and 509.35

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Solution

The fourth proportional to 2,048.35, 3,072.52 and 509.35 is: 764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.35 : 3,072.52 = 509.35 : x
  2. Step 2: Convert to fraction form
    2,048.35/3,072.52 = 509.35/x
  3. Step 3: Cross multiply
    2,048.35x = 3,072.52 × 509.35
  4. Step 4: Simplify right side
    2,048.35x = 1,564,988.06
  5. Step 5: Solve for x
    x = 1,564,988.06/2,048.35
  6. Step 6: Final answer
    x = 764.02

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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.