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Finding the Fourth Proportional to 12,991.29, 19,437.06 and 7,447.29

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Solution

The fourth proportional to 12,991.29, 19,437.06 and 7,447.29 is: 11,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.29 : 19,437.06 = 7,447.29 : x
  2. Step 2: Convert to fraction form
    12,991.29/19,437.06 = 7,447.29/x
  3. Step 3: Cross multiply
    12,991.29x = 19,437.06 × 7,447.29
  4. Step 4: Simplify right side
    12,991.29x = 144,753,422.57
  5. Step 5: Solve for x
    x = 144,753,422.57/12,991.29
  6. Step 6: Final answer
    x = 11,142.34

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1.5x scale

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.