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Finding the Fourth Proportional to 2,821.48, 4,231.95 and 972.34

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Solution

The fourth proportional to 2,821.48, 4,231.95 and 972.34 is: 1,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.48 : 4,231.95 = 972.34 : x
  2. Step 2: Convert to fraction form
    2,821.48/4,231.95 = 972.34/x
  3. Step 3: Cross multiply
    2,821.48x = 4,231.95 × 972.34
  4. Step 4: Simplify right side
    2,821.48x = 4,114,880.04
  5. Step 5: Solve for x
    x = 4,114,880.04/2,821.48
  6. Step 6: Final answer
    x = 1,458.41

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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.