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Finding the Fourth Proportional to 2,139.98, 3,210.48 and 823.68

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Solution

The fourth proportional to 2,139.98, 3,210.48 and 823.68 is: 1,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.98 : 3,210.48 = 823.68 : x
  2. Step 2: Convert to fraction form
    2,139.98/3,210.48 = 823.68/x
  3. Step 3: Cross multiply
    2,139.98x = 3,210.48 × 823.68
  4. Step 4: Simplify right side
    2,139.98x = 2,644,408.17
  5. Step 5: Solve for x
    x = 2,644,408.17/2,139.98
  6. Step 6: Final answer
    x = 1,235.72

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1.5x scale

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.