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Finding the Fourth Proportional to 21,774.86, 32,654.06 and 9,287.10

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Solution

The fourth proportional to 21,774.86, 32,654.06 and 9,287.10 is: 13,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.86 : 32,654.06 = 9,287.10 : x
  2. Step 2: Convert to fraction form
    21,774.86/32,654.06 = 9,287.10/x
  3. Step 3: Cross multiply
    21,774.86x = 32,654.06 × 9,287.10
  4. Step 4: Simplify right side
    21,774.86x = 303,261,520.63
  5. Step 5: Solve for x
    x = 303,261,520.63/21,774.86
  6. Step 6: Final answer
    x = 13,927.14

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1.5x scale

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.