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Finding the Fourth Proportional to 9,274.90, 13,888.22 and 7,790.72

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Solution

The fourth proportional to 9,274.90, 13,888.22 and 7,790.72 is: 11,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.90 : 13,888.22 = 7,790.72 : x
  2. Step 2: Convert to fraction form
    9,274.90/13,888.22 = 7,790.72/x
  3. Step 3: Cross multiply
    9,274.90x = 13,888.22 × 7,790.72
  4. Step 4: Simplify right side
    9,274.90x = 108,199,233.32
  5. Step 5: Solve for x
    x = 108,199,233.32/9,274.90
  6. Step 6: Final answer
    x = 11,665.81

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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.