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Finding the Fourth Proportional to 7,903.77, 11,830.80 and 5,424.09

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Solution

The fourth proportional to 7,903.77, 11,830.80 and 5,424.09 is: 8,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.77 : 11,830.80 = 5,424.09 : x
  2. Step 2: Convert to fraction form
    7,903.77/11,830.80 = 5,424.09/x
  3. Step 3: Cross multiply
    7,903.77x = 11,830.80 × 5,424.09
  4. Step 4: Simplify right side
    7,903.77x = 64,171,323.97
  5. Step 5: Solve for x
    x = 64,171,323.97/7,903.77
  6. Step 6: Final answer
    x = 8,119.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.