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Finding the Fourth Proportional to 6,468.91, 9,646.74 and 6,409.79

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Solution

The fourth proportional to 6,468.91, 9,646.74 and 6,409.79 is: 9,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.91 : 9,646.74 = 6,409.79 : x
  2. Step 2: Convert to fraction form
    6,468.91/9,646.74 = 6,409.79/x
  3. Step 3: Cross multiply
    6,468.91x = 9,646.74 × 6,409.79
  4. Step 4: Simplify right side
    6,468.91x = 61,833,577.58
  5. Step 5: Solve for x
    x = 61,833,577.58/6,468.91
  6. Step 6: Final answer
    x = 9,558.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.