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Finding the Fourth Proportional to 18,978.14, 28,468.32 and 5,830.64

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Solution

The fourth proportional to 18,978.14, 28,468.32 and 5,830.64 is: 8,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.14 : 28,468.32 = 5,830.64 : x
  2. Step 2: Convert to fraction form
    18,978.14/28,468.32 = 5,830.64/x
  3. Step 3: Cross multiply
    18,978.14x = 28,468.32 × 5,830.64
  4. Step 4: Simplify right side
    18,978.14x = 165,988,525.32
  5. Step 5: Solve for x
    x = 165,988,525.32/18,978.14
  6. Step 6: Final answer
    x = 8,746.30

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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.