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Finding the Fourth Proportional to 13,709.66, 18,919.19 and 7,740.98

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Solution

The fourth proportional to 13,709.66, 18,919.19 and 7,740.98 is: 10,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.66 : 18,919.19 = 7,740.98 : x
  2. Step 2: Convert to fraction form
    13,709.66/18,919.19 = 7,740.98/x
  3. Step 3: Cross multiply
    13,709.66x = 18,919.19 × 7,740.98
  4. Step 4: Simplify right side
    13,709.66x = 146,452,938.11
  5. Step 5: Solve for x
    x = 146,452,938.11/13,709.66
  6. Step 6: Final answer
    x = 10,682.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.