Home / 5,234.64-7,853.02-1,536.98

Finding the Fourth Proportional to 5,234.64, 7,853.02 and 1,536.98

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Solution

The fourth proportional to 5,234.64, 7,853.02 and 1,536.98 is: 2,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.64 : 7,853.02 = 1,536.98 : x
  2. Step 2: Convert to fraction form
    5,234.64/7,853.02 = 1,536.98/x
  3. Step 3: Cross multiply
    5,234.64x = 7,853.02 × 1,536.98
  4. Step 4: Simplify right side
    5,234.64x = 12,069,934.68
  5. Step 5: Solve for x
    x = 12,069,934.68/5,234.64
  6. Step 6: Final answer
    x = 2,305.78

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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.