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Finding the Fourth Proportional to 10,100.98, 13,941.03 and 5,851.36

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Solution

The fourth proportional to 10,100.98, 13,941.03 and 5,851.36 is: 8,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.98 : 13,941.03 = 5,851.36 : x
  2. Step 2: Convert to fraction form
    10,100.98/13,941.03 = 5,851.36/x
  3. Step 3: Cross multiply
    10,100.98x = 13,941.03 × 5,851.36
  4. Step 4: Simplify right side
    10,100.98x = 81,573,985.30
  5. Step 5: Solve for x
    x = 81,573,985.30/10,100.98
  6. Step 6: Final answer
    x = 8,075.85

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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.