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Finding the Fourth Proportional to 5,328, 7,352.89 and 2,970.14

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Solution

The fourth proportional to 5,328, 7,352.89 and 2,970.14 is: 4,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328 : 7,352.89 = 2,970.14 : x
  2. Step 2: Convert to fraction form
    5,328/7,352.89 = 2,970.14/x
  3. Step 3: Cross multiply
    5,328x = 7,352.89 × 2,970.14
  4. Step 4: Simplify right side
    5,328x = 21,839,126.58
  5. Step 5: Solve for x
    x = 21,839,126.58/5,328
  6. Step 6: Final answer
    x = 4,098.94

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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.