Home / 5,688-7,845.12-3,922.56

Finding the Fourth Proportional to 5,688, 7,845.12 and 3,922.56

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Solution

The fourth proportional to 5,688, 7,845.12 and 3,922.56 is: 5,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688 : 7,845.12 = 3,922.56 : x
  2. Step 2: Convert to fraction form
    5,688/7,845.12 = 3,922.56/x
  3. Step 3: Cross multiply
    5,688x = 7,845.12 × 3,922.56
  4. Step 4: Simplify right side
    5,688x = 30,772,953.91
  5. Step 5: Solve for x
    x = 30,772,953.91/5,688
  6. Step 6: Final answer
    x = 5,410.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.