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Finding the Fourth Proportional to 21,471.48, 29,640.74 and 14,313.31

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Solution

The fourth proportional to 21,471.48, 29,640.74 and 14,313.31 is: 19,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.48 : 29,640.74 = 14,313.31 : x
  2. Step 2: Convert to fraction form
    21,471.48/29,640.74 = 14,313.31/x
  3. Step 3: Cross multiply
    21,471.48x = 29,640.74 × 14,313.31
  4. Step 4: Simplify right side
    21,471.48x = 424,256,954.58
  5. Step 5: Solve for x
    x = 424,256,954.58/21,471.48
  6. Step 6: Final answer
    x = 19,759.09

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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.