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Finding the Fourth Proportional to 7,972.58, 11,004 and 5,321

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Solution

The fourth proportional to 7,972.58, 11,004 and 5,321 is: 7,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.58 : 11,004 = 5,321 : x
  2. Step 2: Convert to fraction form
    7,972.58/11,004 = 5,321/x
  3. Step 3: Cross multiply
    7,972.58x = 11,004 × 5,321
  4. Step 4: Simplify right side
    7,972.58x = 58,552,284
  5. Step 5: Solve for x
    x = 58,552,284/7,972.58
  6. Step 6: Final answer
    x = 7,344.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.