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Finding the Fourth Proportional to 12,822.90, 17,695.16 and 7,521.22

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Solution

The fourth proportional to 12,822.90, 17,695.16 and 7,521.22 is: 10,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.90 : 17,695.16 = 7,521.22 : x
  2. Step 2: Convert to fraction form
    12,822.90/17,695.16 = 7,521.22/x
  3. Step 3: Cross multiply
    12,822.90x = 17,695.16 × 7,521.22
  4. Step 4: Simplify right side
    12,822.90x = 133,089,191.30
  5. Step 5: Solve for x
    x = 133,089,191.30/12,822.90
  6. Step 6: Final answer
    x = 10,379.02

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1.5x scale

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.