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Finding the Fourth Proportional to 6,178.40, 9,267.57 and 2,074.40

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Solution

The fourth proportional to 6,178.40, 9,267.57 and 2,074.40 is: 3,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.40 : 9,267.57 = 2,074.40 : x
  2. Step 2: Convert to fraction form
    6,178.40/9,267.57 = 2,074.40/x
  3. Step 3: Cross multiply
    6,178.40x = 9,267.57 × 2,074.40
  4. Step 4: Simplify right side
    6,178.40x = 19,224,647.21
  5. Step 5: Solve for x
    x = 19,224,647.21/6,178.40
  6. Step 6: Final answer
    x = 3,111.59

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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.