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Finding the Fourth Proportional to 6,140.50, 8,473.89 and 3,346

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Solution

The fourth proportional to 6,140.50, 8,473.89 and 3,346 is: 4,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.50 : 8,473.89 = 3,346 : x
  2. Step 2: Convert to fraction form
    6,140.50/8,473.89 = 3,346/x
  3. Step 3: Cross multiply
    6,140.50x = 8,473.89 × 3,346
  4. Step 4: Simplify right side
    6,140.50x = 28,353,635.94
  5. Step 5: Solve for x
    x = 28,353,635.94/6,140.50
  6. Step 6: Final answer
    x = 4,617.48

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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.