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Finding the Fourth Proportional to 9,971, 14,962.98 and 3,815

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Solution

The fourth proportional to 9,971, 14,962.98 and 3,815 is: 5,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971 : 14,962.98 = 3,815 : x
  2. Step 2: Convert to fraction form
    9,971/14,962.98 = 3,815/x
  3. Step 3: Cross multiply
    9,971x = 14,962.98 × 3,815
  4. Step 4: Simplify right side
    9,971x = 57,083,768.70
  5. Step 5: Solve for x
    x = 57,083,768.70/9,971
  6. Step 6: Final answer
    x = 5,724.98

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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.