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Finding the Fourth Proportional to 4,315.34, 6,440.99 and 3,719.81

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Solution

The fourth proportional to 4,315.34, 6,440.99 and 3,719.81 is: 5,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.34 : 6,440.99 = 3,719.81 : x
  2. Step 2: Convert to fraction form
    4,315.34/6,440.99 = 3,719.81/x
  3. Step 3: Cross multiply
    4,315.34x = 6,440.99 × 3,719.81
  4. Step 4: Simplify right side
    4,315.34x = 23,959,208.21
  5. Step 5: Solve for x
    x = 23,959,208.21/4,315.34
  6. Step 6: Final answer
    x = 5,552.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.