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Finding the Fourth Proportional to 8,614.83, 11,895.47 and 7,021.71

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Solution

The fourth proportional to 8,614.83, 11,895.47 and 7,021.71 is: 9,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.83 : 11,895.47 = 7,021.71 : x
  2. Step 2: Convert to fraction form
    8,614.83/11,895.47 = 7,021.71/x
  3. Step 3: Cross multiply
    8,614.83x = 11,895.47 × 7,021.71
  4. Step 4: Simplify right side
    8,614.83x = 83,526,505.55
  5. Step 5: Solve for x
    x = 83,526,505.55/8,614.83
  6. Step 6: Final answer
    x = 9,695.66

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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.