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Finding the Fourth Proportional to 6,399.77, 9,601.47 and 4,646.52

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Solution

The fourth proportional to 6,399.77, 9,601.47 and 4,646.52 is: 6,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.77 : 9,601.47 = 4,646.52 : x
  2. Step 2: Convert to fraction form
    6,399.77/9,601.47 = 4,646.52/x
  3. Step 3: Cross multiply
    6,399.77x = 9,601.47 × 4,646.52
  4. Step 4: Simplify right side
    6,399.77x = 44,613,422.38
  5. Step 5: Solve for x
    x = 44,613,422.38/6,399.77
  6. Step 6: Final answer
    x = 6,971.10

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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.