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Finding the Fourth Proportional to 3,141, 4,707.90 and 1,755

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Solution

The fourth proportional to 3,141, 4,707.90 and 1,755 is: 2,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141 : 4,707.90 = 1,755 : x
  2. Step 2: Convert to fraction form
    3,141/4,707.90 = 1,755/x
  3. Step 3: Cross multiply
    3,141x = 4,707.90 × 1,755
  4. Step 4: Simplify right side
    3,141x = 8,262,364.50
  5. Step 5: Solve for x
    x = 8,262,364.50/3,141
  6. Step 6: Final answer
    x = 2,630.49

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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.