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Finding the Fourth Proportional to 10,530.78, 15,788.97 and 7,199.58

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Solution

The fourth proportional to 10,530.78, 15,788.97 and 7,199.58 is: 10,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.78 : 15,788.97 = 7,199.58 : x
  2. Step 2: Convert to fraction form
    10,530.78/15,788.97 = 7,199.58/x
  3. Step 3: Cross multiply
    10,530.78x = 15,788.97 × 7,199.58
  4. Step 4: Simplify right side
    10,530.78x = 113,673,952.63
  5. Step 5: Solve for x
    x = 113,673,952.63/10,530.78
  6. Step 6: Final answer
    x = 10,794.45

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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.