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Finding the Fourth Proportional to 8,971, 13,456.56 and 2,815

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Solution

The fourth proportional to 8,971, 13,456.56 and 2,815 is: 4,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971 : 13,456.56 = 2,815 : x
  2. Step 2: Convert to fraction form
    8,971/13,456.56 = 2,815/x
  3. Step 3: Cross multiply
    8,971x = 13,456.56 × 2,815
  4. Step 4: Simplify right side
    8,971x = 37,880,216.40
  5. Step 5: Solve for x
    x = 37,880,216.40/8,971
  6. Step 6: Final answer
    x = 4,222.52

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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.