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Finding the Fourth Proportional to 5,319, 7,978.50 and 1,423.31

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Solution

The fourth proportional to 5,319, 7,978.50 and 1,423.31 is: 2,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319 : 7,978.50 = 1,423.31 : x
  2. Step 2: Convert to fraction form
    5,319/7,978.50 = 1,423.31/x
  3. Step 3: Cross multiply
    5,319x = 7,978.50 × 1,423.31
  4. Step 4: Simplify right side
    5,319x = 11,355,838.94
  5. Step 5: Solve for x
    x = 11,355,838.94/5,319
  6. Step 6: Final answer
    x = 2,134.96

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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.