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Finding the Fourth Proportional to 8,729, 13,075.68 and 7,263.44

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Solution

The fourth proportional to 8,729, 13,075.68 and 7,263.44 is: 10,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729 : 13,075.68 = 7,263.44 : x
  2. Step 2: Convert to fraction form
    8,729/13,075.68 = 7,263.44/x
  3. Step 3: Cross multiply
    8,729x = 13,075.68 × 7,263.44
  4. Step 4: Simplify right side
    8,729x = 94,974,417.14
  5. Step 5: Solve for x
    x = 94,974,417.14/8,729
  6. Step 6: Final answer
    x = 10,880.33

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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.