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Finding the Fourth Proportional to 5,908.40, 8,152.12 and 3,810

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Solution

The fourth proportional to 5,908.40, 8,152.12 and 3,810 is: 5,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.40 : 8,152.12 = 3,810 : x
  2. Step 2: Convert to fraction form
    5,908.40/8,152.12 = 3,810/x
  3. Step 3: Cross multiply
    5,908.40x = 8,152.12 × 3,810
  4. Step 4: Simplify right side
    5,908.40x = 31,059,577.20
  5. Step 5: Solve for x
    x = 31,059,577.20/5,908.40
  6. Step 6: Final answer
    x = 5,256.85

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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.