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Finding the Fourth Proportional to 21,693.76, 29,941.48 and 12,262.32

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Solution

The fourth proportional to 21,693.76, 29,941.48 and 12,262.32 is: 16,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693.76 : 29,941.48 = 12,262.32 : x
  2. Step 2: Convert to fraction form
    21,693.76/29,941.48 = 12,262.32/x
  3. Step 3: Cross multiply
    21,693.76x = 29,941.48 × 12,262.32
  4. Step 4: Simplify right side
    21,693.76x = 367,152,009.03
  5. Step 5: Solve for x
    x = 367,152,009.03/21,693.76
  6. Step 6: Final answer
    x = 16,924.31

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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.