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Finding the Fourth Proportional to 14,980, 20,672.40 and 8,356

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Solution

The fourth proportional to 14,980, 20,672.40 and 8,356 is: 11,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980 : 20,672.40 = 8,356 : x
  2. Step 2: Convert to fraction form
    14,980/20,672.40 = 8,356/x
  3. Step 3: Cross multiply
    14,980x = 20,672.40 × 8,356
  4. Step 4: Simplify right side
    14,980x = 172,738,574.40
  5. Step 5: Solve for x
    x = 172,738,574.40/14,980
  6. Step 6: Final answer
    x = 11,531.28

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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.