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Finding the Fourth Proportional to 4,864, 6,725.12 and 4,646.40

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Solution

The fourth proportional to 4,864, 6,725.12 and 4,646.40 is: 6,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864 : 6,725.12 = 4,646.40 : x
  2. Step 2: Convert to fraction form
    4,864/6,725.12 = 4,646.40/x
  3. Step 3: Cross multiply
    4,864x = 6,725.12 × 4,646.40
  4. Step 4: Simplify right side
    4,864x = 31,247,597.57
  5. Step 5: Solve for x
    x = 31,247,597.57/4,864
  6. Step 6: Final answer
    x = 6,424.26

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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.