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Finding the Fourth Proportional to 15,980.12, 23,960.16 and 4,883.12

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Solution

The fourth proportional to 15,980.12, 23,960.16 and 4,883.12 is: 7,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.12 : 23,960.16 = 4,883.12 : x
  2. Step 2: Convert to fraction form
    15,980.12/23,960.16 = 4,883.12/x
  3. Step 3: Cross multiply
    15,980.12x = 23,960.16 × 4,883.12
  4. Step 4: Simplify right side
    15,980.12x = 117,000,336.50
  5. Step 5: Solve for x
    x = 117,000,336.50/15,980.12
  6. Step 6: Final answer
    x = 7,321.62

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1.5x scale

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.