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Finding the Fourth Proportional to 13,802.45, 19,047.29 and 7,514.82

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Solution

The fourth proportional to 13,802.45, 19,047.29 and 7,514.82 is: 10,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.45 : 19,047.29 = 7,514.82 : x
  2. Step 2: Convert to fraction form
    13,802.45/19,047.29 = 7,514.82/x
  3. Step 3: Cross multiply
    13,802.45x = 19,047.29 × 7,514.82
  4. Step 4: Simplify right side
    13,802.45x = 143,136,918.26
  5. Step 5: Solve for x
    x = 143,136,918.26/13,802.45
  6. Step 6: Final answer
    x = 10,370.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.