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Finding the Fourth Proportional to 8,569.09, 12,827.71 and 7,921.09

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Solution

The fourth proportional to 8,569.09, 12,827.71 and 7,921.09 is: 11,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.09 : 12,827.71 = 7,921.09 : x
  2. Step 2: Convert to fraction form
    8,569.09/12,827.71 = 7,921.09/x
  3. Step 3: Cross multiply
    8,569.09x = 12,827.71 × 7,921.09
  4. Step 4: Simplify right side
    8,569.09x = 101,609,445.40
  5. Step 5: Solve for x
    x = 101,609,445.40/8,569.09
  6. Step 6: Final answer
    x = 11,857.67

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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.