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Finding the Fourth Proportional to 3,124.85, 4,688.01 and 933.53

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Solution

The fourth proportional to 3,124.85, 4,688.01 and 933.53 is: 1,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.85 : 4,688.01 = 933.53 : x
  2. Step 2: Convert to fraction form
    3,124.85/4,688.01 = 933.53/x
  3. Step 3: Cross multiply
    3,124.85x = 4,688.01 × 933.53
  4. Step 4: Simplify right side
    3,124.85x = 4,376,374.54
  5. Step 5: Solve for x
    x = 4,376,374.54/3,124.85
  6. Step 6: Final answer
    x = 1,400.51

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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.