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Finding the Fourth Proportional to 14,982, 20,678.88 and 8,698.08

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Solution

The fourth proportional to 14,982, 20,678.88 and 8,698.08 is: 12,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 20,678.88 = 8,698.08 : x
  2. Step 2: Convert to fraction form
    14,982/20,678.88 = 8,698.08/x
  3. Step 3: Cross multiply
    14,982x = 20,678.88 × 8,698.08
  4. Step 4: Simplify right side
    14,982x = 179,866,552.55
  5. Step 5: Solve for x
    x = 179,866,552.55/14,982
  6. Step 6: Final answer
    x = 12,005.51

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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.