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Finding the Fourth Proportional to 3,124.68, 4,716.42 and 3,124.68

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Solution

The fourth proportional to 3,124.68, 4,716.42 and 3,124.68 is: 4,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.68 : 4,716.42 = 3,124.68 : x
  2. Step 2: Convert to fraction form
    3,124.68/4,716.42 = 3,124.68/x
  3. Step 3: Cross multiply
    3,124.68x = 4,716.42 × 3,124.68
  4. Step 4: Simplify right side
    3,124.68x = 14,737,303.25
  5. Step 5: Solve for x
    x = 14,737,303.25/3,124.68
  6. Step 6: Final answer
    x = 4,716.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.