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Finding the Fourth Proportional to 15,801.01, 21,815.64 and 9,835.09

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Solution

The fourth proportional to 15,801.01, 21,815.64 and 9,835.09 is: 13,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.01 : 21,815.64 = 9,835.09 : x
  2. Step 2: Convert to fraction form
    15,801.01/21,815.64 = 9,835.09/x
  3. Step 3: Cross multiply
    15,801.01x = 21,815.64 × 9,835.09
  4. Step 4: Simplify right side
    15,801.01x = 214,558,728.27
  5. Step 5: Solve for x
    x = 214,558,728.27/15,801.01
  6. Step 6: Final answer
    x = 13,578.80

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1.5x scale

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.