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Finding the Fourth Proportional to 15,311.54, 22,973.13 and 7,911.38

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Solution

The fourth proportional to 15,311.54, 22,973.13 and 7,911.38 is: 11,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.54 : 22,973.13 = 7,911.38 : x
  2. Step 2: Convert to fraction form
    15,311.54/22,973.13 = 7,911.38/x
  3. Step 3: Cross multiply
    15,311.54x = 22,973.13 × 7,911.38
  4. Step 4: Simplify right side
    15,311.54x = 181,749,161.22
  5. Step 5: Solve for x
    x = 181,749,161.22/15,311.54
  6. Step 6: Final answer
    x = 11,870.08

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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.