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Finding the Fourth Proportional to 5,130.94, 7,697.23 and 2,169.41

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Solution

The fourth proportional to 5,130.94, 7,697.23 and 2,169.41 is: 3,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.94 : 7,697.23 = 2,169.41 : x
  2. Step 2: Convert to fraction form
    5,130.94/7,697.23 = 2,169.41/x
  3. Step 3: Cross multiply
    5,130.94x = 7,697.23 × 2,169.41
  4. Step 4: Simplify right side
    5,130.94x = 16,698,447.73
  5. Step 5: Solve for x
    x = 16,698,447.73/5,130.94
  6. Step 6: Final answer
    x = 3,254.46

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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.