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Finding the Fourth Proportional to 14,003, 19,324.68 and 7,715.24

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Solution

The fourth proportional to 14,003, 19,324.68 and 7,715.24 is: 10,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003 : 19,324.68 = 7,715.24 : x
  2. Step 2: Convert to fraction form
    14,003/19,324.68 = 7,715.24/x
  3. Step 3: Cross multiply
    14,003x = 19,324.68 × 7,715.24
  4. Step 4: Simplify right side
    14,003x = 149,094,544.12
  5. Step 5: Solve for x
    x = 149,094,544.12/14,003
  6. Step 6: Final answer
    x = 10,647.33

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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.