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Finding the Fourth Proportional to 4,978.81, 7,468.21 and 1,858.69

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Solution

The fourth proportional to 4,978.81, 7,468.21 and 1,858.69 is: 2,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.81 : 7,468.21 = 1,858.69 : x
  2. Step 2: Convert to fraction form
    4,978.81/7,468.21 = 1,858.69/x
  3. Step 3: Cross multiply
    4,978.81x = 7,468.21 × 1,858.69
  4. Step 4: Simplify right side
    4,978.81x = 13,881,049.90
  5. Step 5: Solve for x
    x = 13,881,049.90/4,978.81
  6. Step 6: Final answer
    x = 2,788.03

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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.