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Finding the Fourth Proportional to 5,438.77, 8,153.39 and 1,928.23

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Solution

The fourth proportional to 5,438.77, 8,153.39 and 1,928.23 is: 2,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.77 : 8,153.39 = 1,928.23 : x
  2. Step 2: Convert to fraction form
    5,438.77/8,153.39 = 1,928.23/x
  3. Step 3: Cross multiply
    5,438.77x = 8,153.39 × 1,928.23
  4. Step 4: Simplify right side
    5,438.77x = 15,721,595.64
  5. Step 5: Solve for x
    x = 15,721,595.64/5,438.77
  6. Step 6: Final answer
    x = 2,890.65

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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.