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Finding the Fourth Proportional to 5,839.86, 8,059.12 and 3,187.50

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Solution

The fourth proportional to 5,839.86, 8,059.12 and 3,187.50 is: 4,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.86 : 8,059.12 = 3,187.50 : x
  2. Step 2: Convert to fraction form
    5,839.86/8,059.12 = 3,187.50/x
  3. Step 3: Cross multiply
    5,839.86x = 8,059.12 × 3,187.50
  4. Step 4: Simplify right side
    5,839.86x = 25,688,445
  5. Step 5: Solve for x
    x = 25,688,445/5,839.86
  6. Step 6: Final answer
    x = 4,398.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.