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Finding the Fourth Proportional to 14,089.36, 19,443.54 and 7,715.84

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Solution

The fourth proportional to 14,089.36, 19,443.54 and 7,715.84 is: 10,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.36 : 19,443.54 = 7,715.84 : x
  2. Step 2: Convert to fraction form
    14,089.36/19,443.54 = 7,715.84/x
  3. Step 3: Cross multiply
    14,089.36x = 19,443.54 × 7,715.84
  4. Step 4: Simplify right side
    14,089.36x = 150,023,219.33
  5. Step 5: Solve for x
    x = 150,023,219.33/14,089.36
  6. Step 6: Final answer
    x = 10,647.98

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