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Finding the Fourth Proportional to 5,415.84, 8,124.09 and 1,520.55

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Solution

The fourth proportional to 5,415.84, 8,124.09 and 1,520.55 is: 2,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.84 : 8,124.09 = 1,520.55 : x
  2. Step 2: Convert to fraction form
    5,415.84/8,124.09 = 1,520.55/x
  3. Step 3: Cross multiply
    5,415.84x = 8,124.09 × 1,520.55
  4. Step 4: Simplify right side
    5,415.84x = 12,353,085.05
  5. Step 5: Solve for x
    x = 12,353,085.05/5,415.84
  6. Step 6: Final answer
    x = 2,280.92

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Similar ratio
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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.