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Finding the Fourth Proportional to 7,978.74, 11,017.63 and 4,999.71

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Solution

The fourth proportional to 7,978.74, 11,017.63 and 4,999.71 is: 6,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.74 : 11,017.63 = 4,999.71 : x
  2. Step 2: Convert to fraction form
    7,978.74/11,017.63 = 4,999.71/x
  3. Step 3: Cross multiply
    7,978.74x = 11,017.63 × 4,999.71
  4. Step 4: Simplify right side
    7,978.74x = 55,084,954.89
  5. Step 5: Solve for x
    x = 55,084,954.89/7,978.74
  6. Step 6: Final answer
    x = 6,903.97

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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.