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Finding the Fourth Proportional to 10,493, 14,479.04 and 7,097.42

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Solution

The fourth proportional to 10,493, 14,479.04 and 7,097.42 is: 9,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493 : 14,479.04 = 7,097.42 : x
  2. Step 2: Convert to fraction form
    10,493/14,479.04 = 7,097.42/x
  3. Step 3: Cross multiply
    10,493x = 14,479.04 × 7,097.42
  4. Step 4: Simplify right side
    10,493x = 102,763,828.08
  5. Step 5: Solve for x
    x = 102,763,828.08/10,493
  6. Step 6: Final answer
    x = 9,793.56

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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.