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Finding the Fourth Proportional to 7,075.80, 9,754.84 and 5,645.02

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Solution

The fourth proportional to 7,075.80, 9,754.84 and 5,645.02 is: 7,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.80 : 9,754.84 = 5,645.02 : x
  2. Step 2: Convert to fraction form
    7,075.80/9,754.84 = 5,645.02/x
  3. Step 3: Cross multiply
    7,075.80x = 9,754.84 × 5,645.02
  4. Step 4: Simplify right side
    7,075.80x = 55,066,266.90
  5. Step 5: Solve for x
    x = 55,066,266.90/7,075.80
  6. Step 6: Final answer
    x = 7,782.34

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1.5x scale

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.