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Finding the Fourth Proportional to 2,014.74, 3,019.19 and 1,430.88

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Solution

The fourth proportional to 2,014.74, 3,019.19 and 1,430.88 is: 2,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.74 : 3,019.19 = 1,430.88 : x
  2. Step 2: Convert to fraction form
    2,014.74/3,019.19 = 1,430.88/x
  3. Step 3: Cross multiply
    2,014.74x = 3,019.19 × 1,430.88
  4. Step 4: Simplify right side
    2,014.74x = 4,320,098.98
  5. Step 5: Solve for x
    x = 4,320,098.98/2,014.74
  6. Step 6: Final answer
    x = 2,144.25

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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.