Home / 4,142.98-6,214.49-1,023.05

Finding the Fourth Proportional to 4,142.98, 6,214.49 and 1,023.05

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Solution

The fourth proportional to 4,142.98, 6,214.49 and 1,023.05 is: 1,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.98 : 6,214.49 = 1,023.05 : x
  2. Step 2: Convert to fraction form
    4,142.98/6,214.49 = 1,023.05/x
  3. Step 3: Cross multiply
    4,142.98x = 6,214.49 × 1,023.05
  4. Step 4: Simplify right side
    4,142.98x = 6,357,741.67
  5. Step 5: Solve for x
    x = 6,357,741.67/4,142.98
  6. Step 6: Final answer
    x = 1,534.58

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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.