Home / 2,946.20-4,419.57-971.84

Finding the Fourth Proportional to 2,946.20, 4,419.57 and 971.84

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Solution

The fourth proportional to 2,946.20, 4,419.57 and 971.84 is: 1,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.20 : 4,419.57 = 971.84 : x
  2. Step 2: Convert to fraction form
    2,946.20/4,419.57 = 971.84/x
  3. Step 3: Cross multiply
    2,946.20x = 4,419.57 × 971.84
  4. Step 4: Simplify right side
    2,946.20x = 4,295,114.91
  5. Step 5: Solve for x
    x = 4,295,114.91/2,946.20
  6. Step 6: Final answer
    x = 1,457.85

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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.