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Finding the Fourth Proportional to 21,152, 29,188.60 and 11,590.12

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Solution

The fourth proportional to 21,152, 29,188.60 and 11,590.12 is: 15,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152 : 29,188.60 = 11,590.12 : x
  2. Step 2: Convert to fraction form
    21,152/29,188.60 = 11,590.12/x
  3. Step 3: Cross multiply
    21,152x = 29,188.60 × 11,590.12
  4. Step 4: Simplify right side
    21,152x = 338,299,376.63
  5. Step 5: Solve for x
    x = 338,299,376.63/21,152
  6. Step 6: Final answer
    x = 15,993.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.