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Finding the Fourth Proportional to 21,957.50, 30,293.08 and 14,408

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Solution

The fourth proportional to 21,957.50, 30,293.08 and 14,408 is: 19,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.50 : 30,293.08 = 14,408 : x
  2. Step 2: Convert to fraction form
    21,957.50/30,293.08 = 14,408/x
  3. Step 3: Cross multiply
    21,957.50x = 30,293.08 × 14,408
  4. Step 4: Simplify right side
    21,957.50x = 436,462,696.64
  5. Step 5: Solve for x
    x = 436,462,696.64/21,957.50
  6. Step 6: Final answer
    x = 19,877.61

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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.