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Finding the Fourth Proportional to 7,695, 10,620.14 and 4,338.50

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Solution

The fourth proportional to 7,695, 10,620.14 and 4,338.50 is: 5,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695 : 10,620.14 = 4,338.50 : x
  2. Step 2: Convert to fraction form
    7,695/10,620.14 = 4,338.50/x
  3. Step 3: Cross multiply
    7,695x = 10,620.14 × 4,338.50
  4. Step 4: Simplify right side
    7,695x = 46,075,402.60
  5. Step 5: Solve for x
    x = 46,075,402.60/7,695
  6. Step 6: Final answer
    x = 5,987.71

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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.