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Finding the Fourth Proportional to 6,654, 9,980.73 and 1,973.82

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Solution

The fourth proportional to 6,654, 9,980.73 and 1,973.82 is: 2,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654 : 9,980.73 = 1,973.82 : x
  2. Step 2: Convert to fraction form
    6,654/9,980.73 = 1,973.82/x
  3. Step 3: Cross multiply
    6,654x = 9,980.73 × 1,973.82
  4. Step 4: Simplify right side
    6,654x = 19,700,164.49
  5. Step 5: Solve for x
    x = 19,700,164.49/6,654
  6. Step 6: Final answer
    x = 2,960.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.