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Finding the Fourth Proportional to 7,075, 10,537.77 and 6,704.92

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Solution

The fourth proportional to 7,075, 10,537.77 and 6,704.92 is: 9,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075 : 10,537.77 = 6,704.92 : x
  2. Step 2: Convert to fraction form
    7,075/10,537.77 = 6,704.92/x
  3. Step 3: Cross multiply
    7,075x = 10,537.77 × 6,704.92
  4. Step 4: Simplify right side
    7,075x = 70,654,904.83
  5. Step 5: Solve for x
    x = 70,654,904.83/7,075
  6. Step 6: Final answer
    x = 9,986.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.