Home / 2,946.16-4,419.78-971.90

Finding the Fourth Proportional to 2,946.16, 4,419.78 and 971.90

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Solution

The fourth proportional to 2,946.16, 4,419.78 and 971.90 is: 1,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.16 : 4,419.78 = 971.90 : x
  2. Step 2: Convert to fraction form
    2,946.16/4,419.78 = 971.90/x
  3. Step 3: Cross multiply
    2,946.16x = 4,419.78 × 971.90
  4. Step 4: Simplify right side
    2,946.16x = 4,295,584.18
  5. Step 5: Solve for x
    x = 4,295,584.18/2,946.16
  6. Step 6: Final answer
    x = 1,458.03

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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.