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Finding the Fourth Proportional to 14,988, 20,683.44 and 8,364

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Solution

The fourth proportional to 14,988, 20,683.44 and 8,364 is: 11,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,988 : 20,683.44 = 8,364 : x
  2. Step 2: Convert to fraction form
    14,988/20,683.44 = 8,364/x
  3. Step 3: Cross multiply
    14,988x = 20,683.44 × 8,364
  4. Step 4: Simplify right side
    14,988x = 172,996,292.16
  5. Step 5: Solve for x
    x = 172,996,292.16/14,988
  6. Step 6: Final answer
    x = 11,542.32

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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.