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Finding the Fourth Proportional to 7,978.56, 11,988 and 5,058.24

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Solution

The fourth proportional to 7,978.56, 11,988 and 5,058.24 is: 7,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.56 : 11,988 = 5,058.24 : x
  2. Step 2: Convert to fraction form
    7,978.56/11,988 = 5,058.24/x
  3. Step 3: Cross multiply
    7,978.56x = 11,988 × 5,058.24
  4. Step 4: Simplify right side
    7,978.56x = 60,638,181.12
  5. Step 5: Solve for x
    x = 60,638,181.12/7,978.56
  6. Step 6: Final answer
    x = 7,600.14

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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.