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Finding the Fourth Proportional to 4,782, 7,173 and 1,319.25

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Solution

The fourth proportional to 4,782, 7,173 and 1,319.25 is: 1,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782 : 7,173 = 1,319.25 : x
  2. Step 2: Convert to fraction form
    4,782/7,173 = 1,319.25/x
  3. Step 3: Cross multiply
    4,782x = 7,173 × 1,319.25
  4. Step 4: Simplify right side
    4,782x = 9,462,980.25
  5. Step 5: Solve for x
    x = 9,462,980.25/4,782
  6. Step 6: Final answer
    x = 1,978.88

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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.