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Finding the Fourth Proportional to 12,647.32, 18,970.98 and 7,486

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Solution

The fourth proportional to 12,647.32, 18,970.98 and 7,486 is: 11,229

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.32 : 18,970.98 = 7,486 : x
  2. Step 2: Convert to fraction form
    12,647.32/18,970.98 = 7,486/x
  3. Step 3: Cross multiply
    12,647.32x = 18,970.98 × 7,486
  4. Step 4: Simplify right side
    12,647.32x = 142,016,756.28
  5. Step 5: Solve for x
    x = 142,016,756.28/12,647.32
  6. Step 6: Final answer
    x = 11,229

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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.