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Finding the Fourth Proportional to 14,471.93, 19,975.19 and 8,505.51

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Solution

The fourth proportional to 14,471.93, 19,975.19 and 8,505.51 is: 11,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.93 : 19,975.19 = 8,505.51 : x
  2. Step 2: Convert to fraction form
    14,471.93/19,975.19 = 8,505.51/x
  3. Step 3: Cross multiply
    14,471.93x = 19,975.19 × 8,505.51
  4. Step 4: Simplify right side
    14,471.93x = 169,899,135.77
  5. Step 5: Solve for x
    x = 169,899,135.77/14,471.93
  6. Step 6: Final answer
    x = 11,739.91

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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.