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Finding the Fourth Proportional to 7,905.68, 10,910.42 and 4,719.11

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Solution

The fourth proportional to 7,905.68, 10,910.42 and 4,719.11 is: 6,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.68 : 10,910.42 = 4,719.11 : x
  2. Step 2: Convert to fraction form
    7,905.68/10,910.42 = 4,719.11/x
  3. Step 3: Cross multiply
    7,905.68x = 10,910.42 × 4,719.11
  4. Step 4: Simplify right side
    7,905.68x = 51,487,510.81
  5. Step 5: Solve for x
    x = 51,487,510.81/7,905.68
  6. Step 6: Final answer
    x = 6,512.72

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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.