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Finding the Fourth Proportional to 21,523.97, 32,272.74 and 7,477.97

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Solution

The fourth proportional to 21,523.97, 32,272.74 and 7,477.97 is: 11,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.97 : 32,272.74 = 7,477.97 : x
  2. Step 2: Convert to fraction form
    21,523.97/32,272.74 = 7,477.97/x
  3. Step 3: Cross multiply
    21,523.97x = 32,272.74 × 7,477.97
  4. Step 4: Simplify right side
    21,523.97x = 241,334,420.17
  5. Step 5: Solve for x
    x = 241,334,420.17/21,523.97
  6. Step 6: Final answer
    x = 11,212.35

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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.