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Finding the Fourth Proportional to 14,477.39, 19,977.06 and 8,104.31

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Solution

The fourth proportional to 14,477.39, 19,977.06 and 8,104.31 is: 11,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.39 : 19,977.06 = 8,104.31 : x
  2. Step 2: Convert to fraction form
    14,477.39/19,977.06 = 8,104.31/x
  3. Step 3: Cross multiply
    14,477.39x = 19,977.06 × 8,104.31
  4. Step 4: Simplify right side
    14,477.39x = 161,900,287.13
  5. Step 5: Solve for x
    x = 161,900,287.13/14,477.39
  6. Step 6: Final answer
    x = 11,182.97

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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.