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Finding the Fourth Proportional to 9,447.70, 14,242.31 and 8,813.38

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Solution

The fourth proportional to 9,447.70, 14,242.31 and 8,813.38 is: 13,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.70 : 14,242.31 = 8,813.38 : x
  2. Step 2: Convert to fraction form
    9,447.70/14,242.31 = 8,813.38/x
  3. Step 3: Cross multiply
    9,447.70x = 14,242.31 × 8,813.38
  4. Step 4: Simplify right side
    9,447.70x = 125,522,890.11
  5. Step 5: Solve for x
    x = 125,522,890.11/9,447.70
  6. Step 6: Final answer
    x = 13,286.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.