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Finding the Fourth Proportional to 4,978.76, 7,468.14 and 1,816.43

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Solution

The fourth proportional to 4,978.76, 7,468.14 and 1,816.43 is: 2,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.76 : 7,468.14 = 1,816.43 : x
  2. Step 2: Convert to fraction form
    4,978.76/7,468.14 = 1,816.43/x
  3. Step 3: Cross multiply
    4,978.76x = 7,468.14 × 1,816.43
  4. Step 4: Simplify right side
    4,978.76x = 13,565,325.09
  5. Step 5: Solve for x
    x = 13,565,325.09/4,978.76
  6. Step 6: Final answer
    x = 2,724.64

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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.