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Finding the Fourth Proportional to 1,970.63, 2,969.53 and 1,631.62

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Solution

The fourth proportional to 1,970.63, 2,969.53 and 1,631.62 is: 2,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.63 : 2,969.53 = 1,631.62 : x
  2. Step 2: Convert to fraction form
    1,970.63/2,969.53 = 1,631.62/x
  3. Step 3: Cross multiply
    1,970.63x = 2,969.53 × 1,631.62
  4. Step 4: Simplify right side
    1,970.63x = 4,845,144.54
  5. Step 5: Solve for x
    x = 4,845,144.54/1,970.63
  6. Step 6: Final answer
    x = 2,458.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.