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Finding the Fourth Proportional to 6,440.77, 9,638.54 and 5,573.46

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Solution

The fourth proportional to 6,440.77, 9,638.54 and 5,573.46 is: 8,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.77 : 9,638.54 = 5,573.46 : x
  2. Step 2: Convert to fraction form
    6,440.77/9,638.54 = 5,573.46/x
  3. Step 3: Cross multiply
    6,440.77x = 9,638.54 × 5,573.46
  4. Step 4: Simplify right side
    6,440.77x = 53,720,017.15
  5. Step 5: Solve for x
    x = 53,720,017.15/6,440.77
  6. Step 6: Final answer
    x = 8,340.62

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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.