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Finding the Fourth Proportional to 19,976.40, 29,980.09 and 7,507.77

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Solution

The fourth proportional to 19,976.40, 29,980.09 and 7,507.77 is: 11,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.40 : 29,980.09 = 7,507.77 : x
  2. Step 2: Convert to fraction form
    19,976.40/29,980.09 = 7,507.77/x
  3. Step 3: Cross multiply
    19,976.40x = 29,980.09 × 7,507.77
  4. Step 4: Simplify right side
    19,976.40x = 225,083,620.30
  5. Step 5: Solve for x
    x = 225,083,620.30/19,976.40
  6. Step 6: Final answer
    x = 11,267.48

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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.