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Finding the Fourth Proportional to 15,153.60, 22,671 and 9,969.60

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Solution

The fourth proportional to 15,153.60, 22,671 and 9,969.60 is: 14,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153.60 : 22,671 = 9,969.60 : x
  2. Step 2: Convert to fraction form
    15,153.60/22,671 = 9,969.60/x
  3. Step 3: Cross multiply
    15,153.60x = 22,671 × 9,969.60
  4. Step 4: Simplify right side
    15,153.60x = 226,020,801.60
  5. Step 5: Solve for x
    x = 226,020,801.60/15,153.60
  6. Step 6: Final answer
    x = 14,915.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.