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Finding the Fourth Proportional to 14,065.67, 19,410.54 and 7,778

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Solution

The fourth proportional to 14,065.67, 19,410.54 and 7,778 is: 10,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.67 : 19,410.54 = 7,778 : x
  2. Step 2: Convert to fraction form
    14,065.67/19,410.54 = 7,778/x
  3. Step 3: Cross multiply
    14,065.67x = 19,410.54 × 7,778
  4. Step 4: Simplify right side
    14,065.67x = 150,975,180.12
  5. Step 5: Solve for x
    x = 150,975,180.12/14,065.67
  6. Step 6: Final answer
    x = 10,733.59

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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.