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Finding the Fourth Proportional to 14,364.37, 21,502 and 7,774.21

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Solution

The fourth proportional to 14,364.37, 21,502 and 7,774.21 is: 11,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.37 : 21,502 = 7,774.21 : x
  2. Step 2: Convert to fraction form
    14,364.37/21,502 = 7,774.21/x
  3. Step 3: Cross multiply
    14,364.37x = 21,502 × 7,774.21
  4. Step 4: Simplify right side
    14,364.37x = 167,161,063.42
  5. Step 5: Solve for x
    x = 167,161,063.42/14,364.37
  6. Step 6: Final answer
    x = 11,637.20

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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.