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Finding the Fourth Proportional to 15,872.21, 21,898.00 and 9,159.53

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Solution

The fourth proportional to 15,872.21, 21,898.00 and 9,159.53 is: 12,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.21 : 21,898.00 = 9,159.53 : x
  2. Step 2: Convert to fraction form
    15,872.21/21,898.00 = 9,159.53/x
  3. Step 3: Cross multiply
    15,872.21x = 21,898.00 × 9,159.53
  4. Step 4: Simplify right side
    15,872.21x = 200,575,342.14
  5. Step 5: Solve for x
    x = 200,575,342.14/15,872.21
  6. Step 6: Final answer
    x = 12,636.89

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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.