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Finding the Fourth Proportional to 21,530.58, 32,299.11 and 7,678.50

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Solution

The fourth proportional to 21,530.58, 32,299.11 and 7,678.50 is: 11,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.58 : 32,299.11 = 7,678.50 : x
  2. Step 2: Convert to fraction form
    21,530.58/32,299.11 = 7,678.50/x
  3. Step 3: Cross multiply
    21,530.58x = 32,299.11 × 7,678.50
  4. Step 4: Simplify right side
    21,530.58x = 248,008,716.14
  5. Step 5: Solve for x
    x = 248,008,716.14/21,530.58
  6. Step 6: Final answer
    x = 11,518.91

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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.