Home / 2,821.08-4,230.57-971.67

Finding the Fourth Proportional to 2,821.08, 4,230.57 and 971.67

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Solution

The fourth proportional to 2,821.08, 4,230.57 and 971.67 is: 1,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.08 : 4,230.57 = 971.67 : x
  2. Step 2: Convert to fraction form
    2,821.08/4,230.57 = 971.67/x
  3. Step 3: Cross multiply
    2,821.08x = 4,230.57 × 971.67
  4. Step 4: Simplify right side
    2,821.08x = 4,110,717.95
  5. Step 5: Solve for x
    x = 4,110,717.95/2,821.08
  6. Step 6: Final answer
    x = 1,457.14

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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.