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Finding the Fourth Proportional to 12,964.86, 19,438.90 and 7,119.90

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Solution

The fourth proportional to 12,964.86, 19,438.90 and 7,119.90 is: 10,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.86 : 19,438.90 = 7,119.90 : x
  2. Step 2: Convert to fraction form
    12,964.86/19,438.90 = 7,119.90/x
  3. Step 3: Cross multiply
    12,964.86x = 19,438.90 × 7,119.90
  4. Step 4: Simplify right side
    12,964.86x = 138,403,024.11
  5. Step 5: Solve for x
    x = 138,403,024.11/12,964.86
  6. Step 6: Final answer
    x = 10,675.24

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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.