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Finding the Fourth Proportional to 3,153, 4,729.86 and 1,614.36

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Solution

The fourth proportional to 3,153, 4,729.86 and 1,614.36 is: 2,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153 : 4,729.86 = 1,614.36 : x
  2. Step 2: Convert to fraction form
    3,153/4,729.86 = 1,614.36/x
  3. Step 3: Cross multiply
    3,153x = 4,729.86 × 1,614.36
  4. Step 4: Simplify right side
    3,153x = 7,635,696.79
  5. Step 5: Solve for x
    x = 7,635,696.79/3,153
  6. Step 6: Final answer
    x = 2,421.72

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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.