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Finding the Fourth Proportional to 5,438.69, 8,155.03 and 1,689.45

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Solution

The fourth proportional to 5,438.69, 8,155.03 and 1,689.45 is: 2,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.69 : 8,155.03 = 1,689.45 : x
  2. Step 2: Convert to fraction form
    5,438.69/8,155.03 = 1,689.45/x
  3. Step 3: Cross multiply
    5,438.69x = 8,155.03 × 1,689.45
  4. Step 4: Simplify right side
    5,438.69x = 13,777,515.43
  5. Step 5: Solve for x
    x = 13,777,515.43/5,438.69
  6. Step 6: Final answer
    x = 2,533.24

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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.