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Finding the Fourth Proportional to 14,089.29, 19,443 and 7,715.79

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Solution

The fourth proportional to 14,089.29, 19,443 and 7,715.79 is: 10,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.29 : 19,443 = 7,715.79 : x
  2. Step 2: Convert to fraction form
    14,089.29/19,443 = 7,715.79/x
  3. Step 3: Cross multiply
    14,089.29x = 19,443 × 7,715.79
  4. Step 4: Simplify right side
    14,089.29x = 150,018,104.97
  5. Step 5: Solve for x
    x = 150,018,104.97/14,089.29
  6. Step 6: Final answer
    x = 10,647.67

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1.5x scale

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.