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Finding the Fourth Proportional to 15,965.44, 23,948 and 7,620.16

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Solution

The fourth proportional to 15,965.44, 23,948 and 7,620.16 is: 11,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.44 : 23,948 = 7,620.16 : x
  2. Step 2: Convert to fraction form
    15,965.44/23,948 = 7,620.16/x
  3. Step 3: Cross multiply
    15,965.44x = 23,948 × 7,620.16
  4. Step 4: Simplify right side
    15,965.44x = 182,487,591.68
  5. Step 5: Solve for x
    x = 182,487,591.68/15,965.44
  6. Step 6: Final answer
    x = 11,430.16

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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.