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Finding the Fourth Proportional to 6,141, 8,474.67 and 3,346.50

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Solution

The fourth proportional to 6,141, 8,474.67 and 3,346.50 is: 4,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141 : 8,474.67 = 3,346.50 : x
  2. Step 2: Convert to fraction form
    6,141/8,474.67 = 3,346.50/x
  3. Step 3: Cross multiply
    6,141x = 8,474.67 × 3,346.50
  4. Step 4: Simplify right side
    6,141x = 28,360,483.16
  5. Step 5: Solve for x
    x = 28,360,483.16/6,141
  6. Step 6: Final answer
    x = 4,618.22

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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.