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Finding the Fourth Proportional to 46,270, 69,399.84 and 12,991.36

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Solution

The fourth proportional to 46,270, 69,399.84 and 12,991.36 is: 19,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,270 : 69,399.84 = 12,991.36 : x
  2. Step 2: Convert to fraction form
    46,270/69,399.84 = 12,991.36/x
  3. Step 3: Cross multiply
    46,270x = 69,399.84 × 12,991.36
  4. Step 4: Simplify right side
    46,270x = 901,598,305.38
  5. Step 5: Solve for x
    x = 901,598,305.38/46,270
  6. Step 6: Final answer
    x = 19,485.59

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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.