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Finding the Fourth Proportional to 1,970.24, 2,957.48 and 996.08

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Solution

The fourth proportional to 1,970.24, 2,957.48 and 996.08 is: 1,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.24 : 2,957.48 = 996.08 : x
  2. Step 2: Convert to fraction form
    1,970.24/2,957.48 = 996.08/x
  3. Step 3: Cross multiply
    1,970.24x = 2,957.48 × 996.08
  4. Step 4: Simplify right side
    1,970.24x = 2,945,886.68
  5. Step 5: Solve for x
    x = 2,945,886.68/1,970.24
  6. Step 6: Final answer
    x = 1,495.19

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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.