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Finding the Fourth Proportional to 12,765.12, 19,152 and 7,564.80

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Solution

The fourth proportional to 12,765.12, 19,152 and 7,564.80 is: 11,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.12 : 19,152 = 7,564.80 : x
  2. Step 2: Convert to fraction form
    12,765.12/19,152 = 7,564.80/x
  3. Step 3: Cross multiply
    12,765.12x = 19,152 × 7,564.80
  4. Step 4: Simplify right side
    12,765.12x = 144,881,049.60
  5. Step 5: Solve for x
    x = 144,881,049.60/12,765.12
  6. Step 6: Final answer
    x = 11,349.76

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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.