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Finding the Fourth Proportional to 12,963, 17,888.94 and 7,075

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Solution

The fourth proportional to 12,963, 17,888.94 and 7,075 is: 9,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963 : 17,888.94 = 7,075 : x
  2. Step 2: Convert to fraction form
    12,963/17,888.94 = 7,075/x
  3. Step 3: Cross multiply
    12,963x = 17,888.94 × 7,075
  4. Step 4: Simplify right side
    12,963x = 126,564,250.50
  5. Step 5: Solve for x
    x = 126,564,250.50/12,963
  6. Step 6: Final answer
    x = 9,763.50

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Why These Related Problems?

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