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Finding the Fourth Proportional to 4,761.64, 7,146.51 and 1,842

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Solution

The fourth proportional to 4,761.64, 7,146.51 and 1,842 is: 2,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.64 : 7,146.51 = 1,842 : x
  2. Step 2: Convert to fraction form
    4,761.64/7,146.51 = 1,842/x
  3. Step 3: Cross multiply
    4,761.64x = 7,146.51 × 1,842
  4. Step 4: Simplify right side
    4,761.64x = 13,163,871.42
  5. Step 5: Solve for x
    x = 13,163,871.42/4,761.64
  6. Step 6: Final answer
    x = 2,764.57

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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.