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Finding the Fourth Proportional to 12,566.16, 18,839.52 and 8,406

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Solution

The fourth proportional to 12,566.16, 18,839.52 and 8,406 is: 12,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.16 : 18,839.52 = 8,406 : x
  2. Step 2: Convert to fraction form
    12,566.16/18,839.52 = 8,406/x
  3. Step 3: Cross multiply
    12,566.16x = 18,839.52 × 8,406
  4. Step 4: Simplify right side
    12,566.16x = 158,365,005.12
  5. Step 5: Solve for x
    x = 158,365,005.12/12,566.16
  6. Step 6: Final answer
    x = 12,602.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.