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Finding the Fourth Proportional to 19,783.76, 29,675.66 and 9,265.59

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Solution

The fourth proportional to 19,783.76, 29,675.66 and 9,265.59 is: 13,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.76 : 29,675.66 = 9,265.59 : x
  2. Step 2: Convert to fraction form
    19,783.76/29,675.66 = 9,265.59/x
  3. Step 3: Cross multiply
    19,783.76x = 29,675.66 × 9,265.59
  4. Step 4: Simplify right side
    19,783.76x = 274,962,452.21
  5. Step 5: Solve for x
    x = 274,962,452.21/19,783.76
  6. Step 6: Final answer
    x = 13,898.40

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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.