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Finding the Fourth Proportional to 14,007, 19,330.20 and 7,719.24

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Solution

The fourth proportional to 14,007, 19,330.20 and 7,719.24 is: 10,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007 : 19,330.20 = 7,719.24 : x
  2. Step 2: Convert to fraction form
    14,007/19,330.20 = 7,719.24/x
  3. Step 3: Cross multiply
    14,007x = 19,330.20 × 7,719.24
  4. Step 4: Simplify right side
    14,007x = 149,214,453.05
  5. Step 5: Solve for x
    x = 149,214,453.05/14,007
  6. Step 6: Final answer
    x = 10,652.85

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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.