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Finding the Fourth Proportional to 7,978.77, 11,000.75 and 5,141.25

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Solution

The fourth proportional to 7,978.77, 11,000.75 and 5,141.25 is: 7,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.77 : 11,000.75 = 5,141.25 : x
  2. Step 2: Convert to fraction form
    7,978.77/11,000.75 = 5,141.25/x
  3. Step 3: Cross multiply
    7,978.77x = 11,000.75 × 5,141.25
  4. Step 4: Simplify right side
    7,978.77x = 56,557,580.23
  5. Step 5: Solve for x
    x = 56,557,580.23/7,978.77
  6. Step 6: Final answer
    x = 7,088.51

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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.