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Finding the Fourth Proportional to 6,978.93, 9,622.31 and 4,988.76

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Solution

The fourth proportional to 6,978.93, 9,622.31 and 4,988.76 is: 6,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.93 : 9,622.31 = 4,988.76 : x
  2. Step 2: Convert to fraction form
    6,978.93/9,622.31 = 4,988.76/x
  3. Step 3: Cross multiply
    6,978.93x = 9,622.31 × 4,988.76
  4. Step 4: Simplify right side
    6,978.93x = 48,003,370.29
  5. Step 5: Solve for x
    x = 48,003,370.29/6,978.93
  6. Step 6: Final answer
    x = 6,878.33

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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.