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Finding the Fourth Proportional to 5,972.40, 8,220.15 and 5,259.58

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Solution

The fourth proportional to 5,972.40, 8,220.15 and 5,259.58 is: 7,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.40 : 8,220.15 = 5,259.58 : x
  2. Step 2: Convert to fraction form
    5,972.40/8,220.15 = 5,259.58/x
  3. Step 3: Cross multiply
    5,972.40x = 8,220.15 × 5,259.58
  4. Step 4: Simplify right side
    5,972.40x = 43,234,562.22
  5. Step 5: Solve for x
    x = 43,234,562.22/5,972.40
  6. Step 6: Final answer
    x = 7,239.06

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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.