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Finding the Fourth Proportional to 5,415.94, 8,123.91 and 1,311.94

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Solution

The fourth proportional to 5,415.94, 8,123.91 and 1,311.94 is: 1,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.94 : 8,123.91 = 1,311.94 : x
  2. Step 2: Convert to fraction form
    5,415.94/8,123.91 = 1,311.94/x
  3. Step 3: Cross multiply
    5,415.94x = 8,123.91 × 1,311.94
  4. Step 4: Simplify right side
    5,415.94x = 10,658,062.18
  5. Step 5: Solve for x
    x = 10,658,062.18/5,415.94
  6. Step 6: Final answer
    x = 1,967.91

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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.