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Finding the Fourth Proportional to 7,112, 10,644.76 and 6,429.94

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Solution

The fourth proportional to 7,112, 10,644.76 and 6,429.94 is: 9,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112 : 10,644.76 = 6,429.94 : x
  2. Step 2: Convert to fraction form
    7,112/10,644.76 = 6,429.94/x
  3. Step 3: Cross multiply
    7,112x = 10,644.76 × 6,429.94
  4. Step 4: Simplify right side
    7,112x = 68,445,168.11
  5. Step 5: Solve for x
    x = 68,445,168.11/7,112
  6. Step 6: Final answer
    x = 9,623.90

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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.