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Finding the Fourth Proportional to 11,493.42, 15,862.64 and 7,019.75

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Solution

The fourth proportional to 11,493.42, 15,862.64 and 7,019.75 is: 9,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.42 : 15,862.64 = 7,019.75 : x
  2. Step 2: Convert to fraction form
    11,493.42/15,862.64 = 7,019.75/x
  3. Step 3: Cross multiply
    11,493.42x = 15,862.64 × 7,019.75
  4. Step 4: Simplify right side
    11,493.42x = 111,351,652.73
  5. Step 5: Solve for x
    x = 111,351,652.73/11,493.42
  6. Step 6: Final answer
    x = 9,688.30

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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.