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Finding the Fourth Proportional to 8,423.07, 11,611.53 and 5,897.22

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Solution

The fourth proportional to 8,423.07, 11,611.53 and 5,897.22 is: 8,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.07 : 11,611.53 = 5,897.22 : x
  2. Step 2: Convert to fraction form
    8,423.07/11,611.53 = 5,897.22/x
  3. Step 3: Cross multiply
    8,423.07x = 11,611.53 × 5,897.22
  4. Step 4: Simplify right side
    8,423.07x = 68,475,746.95
  5. Step 5: Solve for x
    x = 68,475,746.95/8,423.07
  6. Step 6: Final answer
    x = 8,129.55

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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.