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Finding the Fourth Proportional to 23,540.84, 35,315.10 and 7,121

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Solution

The fourth proportional to 23,540.84, 35,315.10 and 7,121 is: 10,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.84 : 35,315.10 = 7,121 : x
  2. Step 2: Convert to fraction form
    23,540.84/35,315.10 = 7,121/x
  3. Step 3: Cross multiply
    23,540.84x = 35,315.10 × 7,121
  4. Step 4: Simplify right side
    23,540.84x = 251,478,827.10
  5. Step 5: Solve for x
    x = 251,478,827.10/23,540.84
  6. Step 6: Final answer
    x = 10,682.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.