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Finding the Fourth Proportional to 6,459.93, 9,670.74 and 3,986.79

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Solution

The fourth proportional to 6,459.93, 9,670.74 and 3,986.79 is: 5,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.93 : 9,670.74 = 3,986.79 : x
  2. Step 2: Convert to fraction form
    6,459.93/9,670.74 = 3,986.79/x
  3. Step 3: Cross multiply
    6,459.93x = 9,670.74 × 3,986.79
  4. Step 4: Simplify right side
    6,459.93x = 38,555,209.52
  5. Step 5: Solve for x
    x = 38,555,209.52/6,459.93
  6. Step 6: Final answer
    x = 5,968.36

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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.