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Finding the Fourth Proportional to 12,663.76, 18,947.42 and 7,647.66

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Solution

The fourth proportional to 12,663.76, 18,947.42 and 7,647.66 is: 11,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.76 : 18,947.42 = 7,647.66 : x
  2. Step 2: Convert to fraction form
    12,663.76/18,947.42 = 7,647.66/x
  3. Step 3: Cross multiply
    12,663.76x = 18,947.42 × 7,647.66
  4. Step 4: Simplify right side
    12,663.76x = 144,903,426.04
  5. Step 5: Solve for x
    x = 144,903,426.04/12,663.76
  6. Step 6: Final answer
    x = 11,442.37

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1.5x scale

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.