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Finding the Fourth Proportional to 14,268.03, 19,689.93 and 7,980

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Solution

The fourth proportional to 14,268.03, 19,689.93 and 7,980 is: 11,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.03 : 19,689.93 = 7,980 : x
  2. Step 2: Convert to fraction form
    14,268.03/19,689.93 = 7,980/x
  3. Step 3: Cross multiply
    14,268.03x = 19,689.93 × 7,980
  4. Step 4: Simplify right side
    14,268.03x = 157,125,641.40
  5. Step 5: Solve for x
    x = 157,125,641.40/14,268.03
  6. Step 6: Final answer
    x = 11,012.43

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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.