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Finding the Fourth Proportional to 7,865.37, 10,830.81 and 7,690.77

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Solution

The fourth proportional to 7,865.37, 10,830.81 and 7,690.77 is: 10,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.37 : 10,830.81 = 7,690.77 : x
  2. Step 2: Convert to fraction form
    7,865.37/10,830.81 = 7,690.77/x
  3. Step 3: Cross multiply
    7,865.37x = 10,830.81 × 7,690.77
  4. Step 4: Simplify right side
    7,865.37x = 83,297,268.62
  5. Step 5: Solve for x
    x = 83,297,268.62/7,865.37
  6. Step 6: Final answer
    x = 10,590.38

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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.