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Finding the Fourth Proportional to 19,674.40, 29,513.04 and 7,984.48

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Solution

The fourth proportional to 19,674.40, 29,513.04 and 7,984.48 is: 11,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.40 : 29,513.04 = 7,984.48 : x
  2. Step 2: Convert to fraction form
    19,674.40/29,513.04 = 7,984.48/x
  3. Step 3: Cross multiply
    19,674.40x = 29,513.04 × 7,984.48
  4. Step 4: Simplify right side
    19,674.40x = 235,646,277.62
  5. Step 5: Solve for x
    x = 235,646,277.62/19,674.40
  6. Step 6: Final answer
    x = 11,977.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.