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Finding the Fourth Proportional to 7,656.34, 11,483.29 and 2,978.49

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Solution

The fourth proportional to 7,656.34, 11,483.29 and 2,978.49 is: 4,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.34 : 11,483.29 = 2,978.49 : x
  2. Step 2: Convert to fraction form
    7,656.34/11,483.29 = 2,978.49/x
  3. Step 3: Cross multiply
    7,656.34x = 11,483.29 × 2,978.49
  4. Step 4: Simplify right side
    7,656.34x = 34,202,864.43
  5. Step 5: Solve for x
    x = 34,202,864.43/7,656.34
  6. Step 6: Final answer
    x = 4,467.26

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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.