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Finding the Fourth Proportional to 12,523.26, 17,281.98 and 7,219.20

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Solution

The fourth proportional to 12,523.26, 17,281.98 and 7,219.20 is: 9,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.26 : 17,281.98 = 7,219.20 : x
  2. Step 2: Convert to fraction form
    12,523.26/17,281.98 = 7,219.20/x
  3. Step 3: Cross multiply
    12,523.26x = 17,281.98 × 7,219.20
  4. Step 4: Simplify right side
    12,523.26x = 124,762,070.02
  5. Step 5: Solve for x
    x = 124,762,070.02/12,523.26
  6. Step 6: Final answer
    x = 9,962.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.