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Finding the Fourth Proportional to 15,509, 21,393.30 and 9,221

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Solution

The fourth proportional to 15,509, 21,393.30 and 9,221 is: 12,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509 : 21,393.30 = 9,221 : x
  2. Step 2: Convert to fraction form
    15,509/21,393.30 = 9,221/x
  3. Step 3: Cross multiply
    15,509x = 21,393.30 × 9,221
  4. Step 4: Simplify right side
    15,509x = 197,267,619.30
  5. Step 5: Solve for x
    x = 197,267,619.30/15,509
  6. Step 6: Final answer
    x = 12,719.56

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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.