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Finding the Fourth Proportional to 8,434.93, 11,640.08 and 4,658.25

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Solution

The fourth proportional to 8,434.93, 11,640.08 and 4,658.25 is: 6,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.93 : 11,640.08 = 4,658.25 : x
  2. Step 2: Convert to fraction form
    8,434.93/11,640.08 = 4,658.25/x
  3. Step 3: Cross multiply
    8,434.93x = 11,640.08 × 4,658.25
  4. Step 4: Simplify right side
    8,434.93x = 54,222,379.37
  5. Step 5: Solve for x
    x = 54,222,379.37/8,434.93
  6. Step 6: Final answer
    x = 6,428.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.