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Finding the Fourth Proportional to 14,321.67, 19,764.14 and 8,655.63

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Solution

The fourth proportional to 14,321.67, 19,764.14 and 8,655.63 is: 11,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.67 : 19,764.14 = 8,655.63 : x
  2. Step 2: Convert to fraction form
    14,321.67/19,764.14 = 8,655.63/x
  3. Step 3: Cross multiply
    14,321.67x = 19,764.14 × 8,655.63
  4. Step 4: Simplify right side
    14,321.67x = 171,071,039.83
  5. Step 5: Solve for x
    x = 171,071,039.83/14,321.67
  6. Step 6: Final answer
    x = 11,944.91

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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.