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Finding the Fourth Proportional to 4,653.91, 6,978.16 and 1,878.31

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Solution

The fourth proportional to 4,653.91, 6,978.16 and 1,878.31 is: 2,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.91 : 6,978.16 = 1,878.31 : x
  2. Step 2: Convert to fraction form
    4,653.91/6,978.16 = 1,878.31/x
  3. Step 3: Cross multiply
    4,653.91x = 6,978.16 × 1,878.31
  4. Step 4: Simplify right side
    4,653.91x = 13,107,147.71
  5. Step 5: Solve for x
    x = 13,107,147.71/4,653.91
  6. Step 6: Final answer
    x = 2,816.37

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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.