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Finding the Fourth Proportional to 3,124.74, 4,688 and 933.56

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Solution

The fourth proportional to 3,124.74, 4,688 and 933.56 is: 1,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.74 : 4,688 = 933.56 : x
  2. Step 2: Convert to fraction form
    3,124.74/4,688 = 933.56/x
  3. Step 3: Cross multiply
    3,124.74x = 4,688 × 933.56
  4. Step 4: Simplify right side
    3,124.74x = 4,376,529.28
  5. Step 5: Solve for x
    x = 4,376,529.28/3,124.74
  6. Step 6: Final answer
    x = 1,400.61

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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.