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Finding the Fourth Proportional to 6,980, 9,637.28 and 4,886.96

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Solution

The fourth proportional to 6,980, 9,637.28 and 4,886.96 is: 6,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980 : 9,637.28 = 4,886.96 : x
  2. Step 2: Convert to fraction form
    6,980/9,637.28 = 4,886.96/x
  3. Step 3: Cross multiply
    6,980x = 9,637.28 × 4,886.96
  4. Step 4: Simplify right side
    6,980x = 47,097,001.87
  5. Step 5: Solve for x
    x = 47,097,001.87/6,980
  6. Step 6: Final answer
    x = 6,747.42

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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.