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Finding the Fourth Proportional to 7,642.77, 10,538.02 and 7,075.97

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Solution

The fourth proportional to 7,642.77, 10,538.02 and 7,075.97 is: 9,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.77 : 10,538.02 = 7,075.97 : x
  2. Step 2: Convert to fraction form
    7,642.77/10,538.02 = 7,075.97/x
  3. Step 3: Cross multiply
    7,642.77x = 10,538.02 × 7,075.97
  4. Step 4: Simplify right side
    7,642.77x = 74,566,739.72
  5. Step 5: Solve for x
    x = 74,566,739.72/7,642.77
  6. Step 6: Final answer
    x = 9,756.51

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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.