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Finding the Fourth Proportional to 8,340.90, 11,564.84 and 7,946.34

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Solution

The fourth proportional to 8,340.90, 11,564.84 and 7,946.34 is: 11,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.90 : 11,564.84 = 7,946.34 : x
  2. Step 2: Convert to fraction form
    8,340.90/11,564.84 = 7,946.34/x
  3. Step 3: Cross multiply
    8,340.90x = 11,564.84 × 7,946.34
  4. Step 4: Simplify right side
    8,340.90x = 91,898,110.95
  5. Step 5: Solve for x
    x = 91,898,110.95/8,340.90
  6. Step 6: Final answer
    x = 11,017.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.