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Finding the Fourth Proportional to 12,788.48, 19,202.88 and 7,539.68

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Solution

The fourth proportional to 12,788.48, 19,202.88 and 7,539.68 is: 11,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.48 : 19,202.88 = 7,539.68 : x
  2. Step 2: Convert to fraction form
    12,788.48/19,202.88 = 7,539.68/x
  3. Step 3: Cross multiply
    12,788.48x = 19,202.88 × 7,539.68
  4. Step 4: Simplify right side
    12,788.48x = 144,783,570.28
  5. Step 5: Solve for x
    x = 144,783,570.28/12,788.48
  6. Step 6: Final answer
    x = 11,321.41

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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.