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Finding the Fourth Proportional to 15,569, 21,485.22 and 9,980

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Solution

The fourth proportional to 15,569, 21,485.22 and 9,980 is: 13,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,569 : 21,485.22 = 9,980 : x
  2. Step 2: Convert to fraction form
    15,569/21,485.22 = 9,980/x
  3. Step 3: Cross multiply
    15,569x = 21,485.22 × 9,980
  4. Step 4: Simplify right side
    15,569x = 214,422,495.60
  5. Step 5: Solve for x
    x = 214,422,495.60/15,569
  6. Step 6: Final answer
    x = 13,772.40

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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.