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Finding the Fourth Proportional to 7,824.63, 11,737 and 1,981.26

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Solution

The fourth proportional to 7,824.63, 11,737 and 1,981.26 is: 2,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.63 : 11,737 = 1,981.26 : x
  2. Step 2: Convert to fraction form
    7,824.63/11,737 = 1,981.26/x
  3. Step 3: Cross multiply
    7,824.63x = 11,737 × 1,981.26
  4. Step 4: Simplify right side
    7,824.63x = 23,254,048.62
  5. Step 5: Solve for x
    x = 23,254,048.62/7,824.63
  6. Step 6: Final answer
    x = 2,971.90

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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.