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Finding the Fourth Proportional to 2,919.46, 4,379.23 and 971.67

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Solution

The fourth proportional to 2,919.46, 4,379.23 and 971.67 is: 1,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.46 : 4,379.23 = 971.67 : x
  2. Step 2: Convert to fraction form
    2,919.46/4,379.23 = 971.67/x
  3. Step 3: Cross multiply
    2,919.46x = 4,379.23 × 971.67
  4. Step 4: Simplify right side
    2,919.46x = 4,255,166.41
  5. Step 5: Solve for x
    x = 4,255,166.41/2,919.46
  6. Step 6: Final answer
    x = 1,457.52

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Double scale
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Similar ratio
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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.