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Finding the Fourth Proportional to 8,921.00, 12,257.71 and 8,345.09

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Solution

The fourth proportional to 8,921.00, 12,257.71 and 8,345.09 is: 11,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.00 : 12,257.71 = 8,345.09 : x
  2. Step 2: Convert to fraction form
    8,921.00/12,257.71 = 8,345.09/x
  3. Step 3: Cross multiply
    8,921.00x = 12,257.71 × 8,345.09
  4. Step 4: Simplify right side
    8,921.00x = 102,291,749.87
  5. Step 5: Solve for x
    x = 102,291,749.87/8,921.00
  6. Step 6: Final answer
    x = 11,466.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.