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Finding the Fourth Proportional to 7,980, 11,012.64 and 4,443.36

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Solution

The fourth proportional to 7,980, 11,012.64 and 4,443.36 is: 6,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980 : 11,012.64 = 4,443.36 : x
  2. Step 2: Convert to fraction form
    7,980/11,012.64 = 4,443.36/x
  3. Step 3: Cross multiply
    7,980x = 11,012.64 × 4,443.36
  4. Step 4: Simplify right side
    7,980x = 48,933,124.07
  5. Step 5: Solve for x
    x = 48,933,124.07/7,980
  6. Step 6: Final answer
    x = 6,131.97

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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.