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Finding the Fourth Proportional to 6,654.91, 9,980.66 and 1,973.83

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Solution

The fourth proportional to 6,654.91, 9,980.66 and 1,973.83 is: 2,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.91 : 9,980.66 = 1,973.83 : x
  2. Step 2: Convert to fraction form
    6,654.91/9,980.66 = 1,973.83/x
  3. Step 3: Cross multiply
    6,654.91x = 9,980.66 × 1,973.83
  4. Step 4: Simplify right side
    6,654.91x = 19,700,076.22
  5. Step 5: Solve for x
    x = 19,700,076.22/6,654.91
  6. Step 6: Final answer
    x = 2,960.23

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1.5x scale

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.