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Finding the Fourth Proportional to 18,869.86, 28,308.74 and 7,776.46

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Solution

The fourth proportional to 18,869.86, 28,308.74 and 7,776.46 is: 11,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,869.86 : 28,308.74 = 7,776.46 : x
  2. Step 2: Convert to fraction form
    18,869.86/28,308.74 = 7,776.46/x
  3. Step 3: Cross multiply
    18,869.86x = 28,308.74 × 7,776.46
  4. Step 4: Simplify right side
    18,869.86x = 220,141,665.27
  5. Step 5: Solve for x
    x = 220,141,665.27/18,869.86
  6. Step 6: Final answer
    x = 11,666.31

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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.