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Finding the Fourth Proportional to 10,495.90, 15,729.88 and 3,915.46

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Solution

The fourth proportional to 10,495.90, 15,729.88 and 3,915.46 is: 5,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.90 : 15,729.88 = 3,915.46 : x
  2. Step 2: Convert to fraction form
    10,495.90/15,729.88 = 3,915.46/x
  3. Step 3: Cross multiply
    10,495.90x = 15,729.88 × 3,915.46
  4. Step 4: Simplify right side
    10,495.90x = 61,589,715.94
  5. Step 5: Solve for x
    x = 61,589,715.94/10,495.90
  6. Step 6: Final answer
    x = 5,867.98

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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.