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Finding the Fourth Proportional to 19,503.67, 29,255.10 and 7,813.75

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Solution

The fourth proportional to 19,503.67, 29,255.10 and 7,813.75 is: 11,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,503.67 : 29,255.10 = 7,813.75 : x
  2. Step 2: Convert to fraction form
    19,503.67/29,255.10 = 7,813.75/x
  3. Step 3: Cross multiply
    19,503.67x = 29,255.10 × 7,813.75
  4. Step 4: Simplify right side
    19,503.67x = 228,592,037.63
  5. Step 5: Solve for x
    x = 228,592,037.63/19,503.67
  6. Step 6: Final answer
    x = 11,720.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.