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Finding the Fourth Proportional to 7,190.98, 10,772.04 and 5,712.63

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Solution

The fourth proportional to 7,190.98, 10,772.04 and 5,712.63 is: 8,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.98 : 10,772.04 = 5,712.63 : x
  2. Step 2: Convert to fraction form
    7,190.98/10,772.04 = 5,712.63/x
  3. Step 3: Cross multiply
    7,190.98x = 10,772.04 × 5,712.63
  4. Step 4: Simplify right side
    7,190.98x = 61,536,627.76
  5. Step 5: Solve for x
    x = 61,536,627.76/7,190.98
  6. Step 6: Final answer
    x = 8,557.48

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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.