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Finding the Fourth Proportional to 10,098.34, 13,941.50 and 6,752.22

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Solution

The fourth proportional to 10,098.34, 13,941.50 and 6,752.22 is: 9,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.34 : 13,941.50 = 6,752.22 : x
  2. Step 2: Convert to fraction form
    10,098.34/13,941.50 = 6,752.22/x
  3. Step 3: Cross multiply
    10,098.34x = 13,941.50 × 6,752.22
  4. Step 4: Simplify right side
    10,098.34x = 94,136,075.13
  5. Step 5: Solve for x
    x = 94,136,075.13/10,098.34
  6. Step 6: Final answer
    x = 9,321.94

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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.