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Finding the Fourth Proportional to 5,319.40, 7,978.80 and 1,621.32

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Solution

The fourth proportional to 5,319.40, 7,978.80 and 1,621.32 is: 2,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.40 : 7,978.80 = 1,621.32 : x
  2. Step 2: Convert to fraction form
    5,319.40/7,978.80 = 1,621.32/x
  3. Step 3: Cross multiply
    5,319.40x = 7,978.80 × 1,621.32
  4. Step 4: Simplify right side
    5,319.40x = 12,936,164.18
  5. Step 5: Solve for x
    x = 12,936,164.18/5,319.40
  6. Step 6: Final answer
    x = 2,431.89

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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.