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Finding the Fourth Proportional to 2,946.65, 4,420.49 and 971.73

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Solution

The fourth proportional to 2,946.65, 4,420.49 and 971.73 is: 1,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.65 : 4,420.49 = 971.73 : x
  2. Step 2: Convert to fraction form
    2,946.65/4,420.49 = 971.73/x
  3. Step 3: Cross multiply
    2,946.65x = 4,420.49 × 971.73
  4. Step 4: Simplify right side
    2,946.65x = 4,295,517.89
  5. Step 5: Solve for x
    x = 4,295,517.89/2,946.65
  6. Step 6: Final answer
    x = 1,457.77

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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.