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Finding the Fourth Proportional to 2,068.51, 3,102.70 and 508.52

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Solution

The fourth proportional to 2,068.51, 3,102.70 and 508.52 is: 762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.51 : 3,102.70 = 508.52 : x
  2. Step 2: Convert to fraction form
    2,068.51/3,102.70 = 508.52/x
  3. Step 3: Cross multiply
    2,068.51x = 3,102.70 × 508.52
  4. Step 4: Simplify right side
    2,068.51x = 1,577,785.00
  5. Step 5: Solve for x
    x = 1,577,785.00/2,068.51
  6. Step 6: Final answer
    x = 762.76

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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.