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Finding the Fourth Proportional to 6,978.52, 9,620.40 and 4,988.35

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Solution

The fourth proportional to 6,978.52, 9,620.40 and 4,988.35 is: 6,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.52 : 9,620.40 = 4,988.35 : x
  2. Step 2: Convert to fraction form
    6,978.52/9,620.40 = 4,988.35/x
  3. Step 3: Cross multiply
    6,978.52x = 9,620.40 × 4,988.35
  4. Step 4: Simplify right side
    6,978.52x = 47,989,922.34
  5. Step 5: Solve for x
    x = 47,989,922.34/6,978.52
  6. Step 6: Final answer
    x = 6,876.81

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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.