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Finding the Fourth Proportional to 8,489.70, 11,727 and 7,078.01

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Solution

The fourth proportional to 8,489.70, 11,727 and 7,078.01 is: 9,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.70 : 11,727 = 7,078.01 : x
  2. Step 2: Convert to fraction form
    8,489.70/11,727 = 7,078.01/x
  3. Step 3: Cross multiply
    8,489.70x = 11,727 × 7,078.01
  4. Step 4: Simplify right side
    8,489.70x = 83,003,764.64
  5. Step 5: Solve for x
    x = 83,003,764.64/8,489.70
  6. Step 6: Final answer
    x = 9,777.00

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1.5x scale

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.