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Finding the Fourth Proportional to 7,954.51, 11,913.30 and 7,677.73

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Solution

The fourth proportional to 7,954.51, 11,913.30 and 7,677.73 is: 11,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.51 : 11,913.30 = 7,677.73 : x
  2. Step 2: Convert to fraction form
    7,954.51/11,913.30 = 7,677.73/x
  3. Step 3: Cross multiply
    7,954.51x = 11,913.30 × 7,677.73
  4. Step 4: Simplify right side
    7,954.51x = 91,467,100.81
  5. Step 5: Solve for x
    x = 91,467,100.81/7,954.51
  6. Step 6: Final answer
    x = 11,498.77

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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.