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Finding the Fourth Proportional to 6,486.55, 9,728.74 and 2,325.78

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Solution

The fourth proportional to 6,486.55, 9,728.74 and 2,325.78 is: 3,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.55 : 9,728.74 = 2,325.78 : x
  2. Step 2: Convert to fraction form
    6,486.55/9,728.74 = 2,325.78/x
  3. Step 3: Cross multiply
    6,486.55x = 9,728.74 × 2,325.78
  4. Step 4: Simplify right side
    6,486.55x = 22,626,911.82
  5. Step 5: Solve for x
    x = 22,626,911.82/6,486.55
  6. Step 6: Final answer
    x = 3,488.28

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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.