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Finding the Fourth Proportional to 14,971.86, 20,661.06 and 8,257.76

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Solution

The fourth proportional to 14,971.86, 20,661.06 and 8,257.76 is: 11,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.86 : 20,661.06 = 8,257.76 : x
  2. Step 2: Convert to fraction form
    14,971.86/20,661.06 = 8,257.76/x
  3. Step 3: Cross multiply
    14,971.86x = 20,661.06 × 8,257.76
  4. Step 4: Simplify right side
    14,971.86x = 170,614,074.83
  5. Step 5: Solve for x
    x = 170,614,074.83/14,971.86
  6. Step 6: Final answer
    x = 11,395.65

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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.