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Finding the Fourth Proportional to 14,321.25, 19,761.71 and 7,947.63

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Solution

The fourth proportional to 14,321.25, 19,761.71 and 7,947.63 is: 10,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.25 : 19,761.71 = 7,947.63 : x
  2. Step 2: Convert to fraction form
    14,321.25/19,761.71 = 7,947.63/x
  3. Step 3: Cross multiply
    14,321.25x = 19,761.71 × 7,947.63
  4. Step 4: Simplify right side
    14,321.25x = 157,058,719.51
  5. Step 5: Solve for x
    x = 157,058,719.51/14,321.25
  6. Step 6: Final answer
    x = 10,966.83

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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.