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Finding the Fourth Proportional to 15,774.40, 23,629.20 and 7,987.60

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Solution

The fourth proportional to 15,774.40, 23,629.20 and 7,987.60 is: 11,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.40 : 23,629.20 = 7,987.60 : x
  2. Step 2: Convert to fraction form
    15,774.40/23,629.20 = 7,987.60/x
  3. Step 3: Cross multiply
    15,774.40x = 23,629.20 × 7,987.60
  4. Step 4: Simplify right side
    15,774.40x = 188,740,597.92
  5. Step 5: Solve for x
    x = 188,740,597.92/15,774.40
  6. Step 6: Final answer
    x = 11,964.99

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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.