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Finding the Fourth Proportional to 3,156.51, 4,731.12 and 1,840.71

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Solution

The fourth proportional to 3,156.51, 4,731.12 and 1,840.71 is: 2,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.51 : 4,731.12 = 1,840.71 : x
  2. Step 2: Convert to fraction form
    3,156.51/4,731.12 = 1,840.71/x
  3. Step 3: Cross multiply
    3,156.51x = 4,731.12 × 1,840.71
  4. Step 4: Simplify right side
    3,156.51x = 8,708,619.90
  5. Step 5: Solve for x
    x = 8,708,619.90/3,156.51
  6. Step 6: Final answer
    x = 2,758.94

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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.