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Finding the Fourth Proportional to 4,686, 6,466.80 and 2,823.12

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Solution

The fourth proportional to 4,686, 6,466.80 and 2,823.12 is: 3,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686 : 6,466.80 = 2,823.12 : x
  2. Step 2: Convert to fraction form
    4,686/6,466.80 = 2,823.12/x
  3. Step 3: Cross multiply
    4,686x = 6,466.80 × 2,823.12
  4. Step 4: Simplify right side
    4,686x = 18,256,552.42
  5. Step 5: Solve for x
    x = 18,256,552.42/4,686
  6. Step 6: Final answer
    x = 3,895.98

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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.