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Finding the Fourth Proportional to 12,304.65, 16,978.71 and 6,998.44

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Solution

The fourth proportional to 12,304.65, 16,978.71 and 6,998.44 is: 9,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.65 : 16,978.71 = 6,998.44 : x
  2. Step 2: Convert to fraction form
    12,304.65/16,978.71 = 6,998.44/x
  3. Step 3: Cross multiply
    12,304.65x = 16,978.71 × 6,998.44
  4. Step 4: Simplify right side
    12,304.65x = 118,824,483.21
  5. Step 5: Solve for x
    x = 118,824,483.21/12,304.65
  6. Step 6: Final answer
    x = 9,656.88

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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.