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Finding the Fourth Proportional to 21,783.30, 32,662.80 and 9,301.20

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Solution

The fourth proportional to 21,783.30, 32,662.80 and 9,301.20 is: 13,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.30 : 32,662.80 = 9,301.20 : x
  2. Step 2: Convert to fraction form
    21,783.30/32,662.80 = 9,301.20/x
  3. Step 3: Cross multiply
    21,783.30x = 32,662.80 × 9,301.20
  4. Step 4: Simplify right side
    21,783.30x = 303,803,235.36
  5. Step 5: Solve for x
    x = 303,803,235.36/21,783.30
  6. Step 6: Final answer
    x = 13,946.61

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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.