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Finding the Fourth Proportional to 5,725.95, 8,570.70 and 4,085.70

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Solution

The fourth proportional to 5,725.95, 8,570.70 and 4,085.70 is: 6,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.95 : 8,570.70 = 4,085.70 : x
  2. Step 2: Convert to fraction form
    5,725.95/8,570.70 = 4,085.70/x
  3. Step 3: Cross multiply
    5,725.95x = 8,570.70 × 4,085.70
  4. Step 4: Simplify right side
    5,725.95x = 35,017,308.99
  5. Step 5: Solve for x
    x = 35,017,308.99/5,725.95
  6. Step 6: Final answer
    x = 6,115.55

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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.