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Finding the Fourth Proportional to 7,290.66, 10,929.30 and 3,540.26

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Solution

The fourth proportional to 7,290.66, 10,929.30 and 3,540.26 is: 5,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.66 : 10,929.30 = 3,540.26 : x
  2. Step 2: Convert to fraction form
    7,290.66/10,929.30 = 3,540.26/x
  3. Step 3: Cross multiply
    7,290.66x = 10,929.30 × 3,540.26
  4. Step 4: Simplify right side
    7,290.66x = 38,692,546.06
  5. Step 5: Solve for x
    x = 38,692,546.06/7,290.66
  6. Step 6: Final answer
    x = 5,307.14

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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.