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Finding the Fourth Proportional to 2,000.26, 3,000.59 and 830.02

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Solution

The fourth proportional to 2,000.26, 3,000.59 and 830.02 is: 1,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.26 : 3,000.59 = 830.02 : x
  2. Step 2: Convert to fraction form
    2,000.26/3,000.59 = 830.02/x
  3. Step 3: Cross multiply
    2,000.26x = 3,000.59 × 830.02
  4. Step 4: Simplify right side
    2,000.26x = 2,490,549.71
  5. Step 5: Solve for x
    x = 2,490,549.71/2,000.26
  6. Step 6: Final answer
    x = 1,245.11

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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.