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Finding the Fourth Proportional to 14,396.01, 21,575.82 and 7,715.91

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Solution

The fourth proportional to 14,396.01, 21,575.82 and 7,715.91 is: 11,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.01 : 21,575.82 = 7,715.91 : x
  2. Step 2: Convert to fraction form
    14,396.01/21,575.82 = 7,715.91/x
  3. Step 3: Cross multiply
    14,396.01x = 21,575.82 × 7,715.91
  4. Step 4: Simplify right side
    14,396.01x = 166,477,085.30
  5. Step 5: Solve for x
    x = 166,477,085.30/14,396.01
  6. Step 6: Final answer
    x = 11,564.11

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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.