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Finding the Fourth Proportional to 5,415.88, 8,123.84 and 1,311.88

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Solution

The fourth proportional to 5,415.88, 8,123.84 and 1,311.88 is: 1,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.88 : 8,123.84 = 1,311.88 : x
  2. Step 2: Convert to fraction form
    5,415.88/8,123.84 = 1,311.88/x
  3. Step 3: Cross multiply
    5,415.88x = 8,123.84 × 1,311.88
  4. Step 4: Simplify right side
    5,415.88x = 10,657,503.22
  5. Step 5: Solve for x
    x = 10,657,503.22/5,415.88
  6. Step 6: Final answer
    x = 1,967.82

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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.