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Finding the Fourth Proportional to 11,449.48, 15,780.34 and 10,457.48

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Solution

The fourth proportional to 11,449.48, 15,780.34 and 10,457.48 is: 14,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.48 : 15,780.34 = 10,457.48 : x
  2. Step 2: Convert to fraction form
    11,449.48/15,780.34 = 10,457.48/x
  3. Step 3: Cross multiply
    11,449.48x = 15,780.34 × 10,457.48
  4. Step 4: Simplify right side
    11,449.48x = 165,022,589.94
  5. Step 5: Solve for x
    x = 165,022,589.94/11,449.48
  6. Step 6: Final answer
    x = 14,413.11

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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.