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Finding the Fourth Proportional to 3,319, 4,978.52 and 1,010.52

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Solution

The fourth proportional to 3,319, 4,978.52 and 1,010.52 is: 1,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319 : 4,978.52 = 1,010.52 : x
  2. Step 2: Convert to fraction form
    3,319/4,978.52 = 1,010.52/x
  3. Step 3: Cross multiply
    3,319x = 4,978.52 × 1,010.52
  4. Step 4: Simplify right side
    3,319x = 5,030,894.03
  5. Step 5: Solve for x
    x = 5,030,894.03/3,319
  6. Step 6: Final answer
    x = 1,515.79

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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.