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Finding the Fourth Proportional to 4,141, 6,211.50 and 1,063

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Solution

The fourth proportional to 4,141, 6,211.50 and 1,063 is: 1,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141 : 6,211.50 = 1,063 : x
  2. Step 2: Convert to fraction form
    4,141/6,211.50 = 1,063/x
  3. Step 3: Cross multiply
    4,141x = 6,211.50 × 1,063
  4. Step 4: Simplify right side
    4,141x = 6,602,824.50
  5. Step 5: Solve for x
    x = 6,602,824.50/4,141
  6. Step 6: Final answer
    x = 1,594.50

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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.