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Finding the Fourth Proportional to 14,396.42, 21,597.09 and 6,605.90

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Solution

The fourth proportional to 14,396.42, 21,597.09 and 6,605.90 is: 9,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.42 : 21,597.09 = 6,605.90 : x
  2. Step 2: Convert to fraction form
    14,396.42/21,597.09 = 6,605.90/x
  3. Step 3: Cross multiply
    14,396.42x = 21,597.09 × 6,605.90
  4. Step 4: Simplify right side
    14,396.42x = 142,668,216.83
  5. Step 5: Solve for x
    x = 142,668,216.83/14,396.42
  6. Step 6: Final answer
    x = 9,909.98

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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.