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Finding the Fourth Proportional to 21,716.68, 29,973.68 and 14,149.46

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Solution

The fourth proportional to 21,716.68, 29,973.68 and 14,149.46 is: 19,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.68 : 29,973.68 = 14,149.46 : x
  2. Step 2: Convert to fraction form
    21,716.68/29,973.68 = 14,149.46/x
  3. Step 3: Cross multiply
    21,716.68x = 29,973.68 × 14,149.46
  4. Step 4: Simplify right side
    21,716.68x = 424,111,386.21
  5. Step 5: Solve for x
    x = 424,111,386.21/21,716.68
  6. Step 6: Final answer
    x = 19,529.29

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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.