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Finding the Fourth Proportional to 12,384.92, 17,087.01 and 7,075.98

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Solution

The fourth proportional to 12,384.92, 17,087.01 and 7,075.98 is: 9,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.92 : 17,087.01 = 7,075.98 : x
  2. Step 2: Convert to fraction form
    12,384.92/17,087.01 = 7,075.98/x
  3. Step 3: Cross multiply
    12,384.92x = 17,087.01 × 7,075.98
  4. Step 4: Simplify right side
    12,384.92x = 120,907,341.02
  5. Step 5: Solve for x
    x = 120,907,341.02/12,384.92
  6. Step 6: Final answer
    x = 9,762.47

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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.