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Finding the Fourth Proportional to 21,666.93, 32,500.41 and 7,815.93

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Solution

The fourth proportional to 21,666.93, 32,500.41 and 7,815.93 is: 11,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.93 : 32,500.41 = 7,815.93 : x
  2. Step 2: Convert to fraction form
    21,666.93/32,500.41 = 7,815.93/x
  3. Step 3: Cross multiply
    21,666.93x = 32,500.41 × 7,815.93
  4. Step 4: Simplify right side
    21,666.93x = 254,020,929.53
  5. Step 5: Solve for x
    x = 254,020,929.53/21,666.93
  6. Step 6: Final answer
    x = 11,723.90

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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.