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Finding the Fourth Proportional to 21,192.44, 31,783.80 and 9,509

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Solution

The fourth proportional to 21,192.44, 31,783.80 and 9,509 is: 14,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192.44 : 31,783.80 = 9,509 : x
  2. Step 2: Convert to fraction form
    21,192.44/31,783.80 = 9,509/x
  3. Step 3: Cross multiply
    21,192.44x = 31,783.80 × 9,509
  4. Step 4: Simplify right side
    21,192.44x = 302,232,154.20
  5. Step 5: Solve for x
    x = 302,232,154.20/21,192.44
  6. Step 6: Final answer
    x = 14,261.32

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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.