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Finding the Fourth Proportional to 7,978.68, 11,010.06 and 4,836.60

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Solution

The fourth proportional to 7,978.68, 11,010.06 and 4,836.60 is: 6,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.68 : 11,010.06 = 4,836.60 : x
  2. Step 2: Convert to fraction form
    7,978.68/11,010.06 = 4,836.60/x
  3. Step 3: Cross multiply
    7,978.68x = 11,010.06 × 4,836.60
  4. Step 4: Simplify right side
    7,978.68x = 53,251,256.20
  5. Step 5: Solve for x
    x = 53,251,256.20/7,978.68
  6. Step 6: Final answer
    x = 6,674.19

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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.