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Finding the Fourth Proportional to 15,228, 21,014.64 and 8,604

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Solution

The fourth proportional to 15,228, 21,014.64 and 8,604 is: 11,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228 : 21,014.64 = 8,604 : x
  2. Step 2: Convert to fraction form
    15,228/21,014.64 = 8,604/x
  3. Step 3: Cross multiply
    15,228x = 21,014.64 × 8,604
  4. Step 4: Simplify right side
    15,228x = 180,809,962.56
  5. Step 5: Solve for x
    x = 180,809,962.56/15,228
  6. Step 6: Final answer
    x = 11,873.52

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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.