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Finding the Fourth Proportional to 3,074.70, 4,609.70 and 1,430.05

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Solution

The fourth proportional to 3,074.70, 4,609.70 and 1,430.05 is: 2,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.70 : 4,609.70 = 1,430.05 : x
  2. Step 2: Convert to fraction form
    3,074.70/4,609.70 = 1,430.05/x
  3. Step 3: Cross multiply
    3,074.70x = 4,609.70 × 1,430.05
  4. Step 4: Simplify right side
    3,074.70x = 6,592,082.81
  5. Step 5: Solve for x
    x = 6,592,082.81/3,074.70
  6. Step 6: Final answer
    x = 2,143.98

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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.