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Finding the Fourth Proportional to 7,915.23, 11,862.81 and 3,968.01

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Solution

The fourth proportional to 7,915.23, 11,862.81 and 3,968.01 is: 5,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.23 : 11,862.81 = 3,968.01 : x
  2. Step 2: Convert to fraction form
    7,915.23/11,862.81 = 3,968.01/x
  3. Step 3: Cross multiply
    7,915.23x = 11,862.81 × 3,968.01
  4. Step 4: Simplify right side
    7,915.23x = 47,071,748.71
  5. Step 5: Solve for x
    x = 47,071,748.71/7,915.23
  6. Step 6: Final answer
    x = 5,946.98

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Why These Related Problems?

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