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Finding the Fourth Proportional to 11,238.48, 15,471 and 9,657.36

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Solution

The fourth proportional to 11,238.48, 15,471 and 9,657.36 is: 13,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.48 : 15,471 = 9,657.36 : x
  2. Step 2: Convert to fraction form
    11,238.48/15,471 = 9,657.36/x
  3. Step 3: Cross multiply
    11,238.48x = 15,471 × 9,657.36
  4. Step 4: Simplify right side
    11,238.48x = 149,409,016.56
  5. Step 5: Solve for x
    x = 149,409,016.56/11,238.48
  6. Step 6: Final answer
    x = 13,294.41

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1.5x scale

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.