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Finding the Fourth Proportional to 1,970.82, 2,957.76 and 739.35

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Solution

The fourth proportional to 1,970.82, 2,957.76 and 739.35 is: 1,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.82 : 2,957.76 = 739.35 : x
  2. Step 2: Convert to fraction form
    1,970.82/2,957.76 = 739.35/x
  3. Step 3: Cross multiply
    1,970.82x = 2,957.76 × 739.35
  4. Step 4: Simplify right side
    1,970.82x = 2,186,819.86
  5. Step 5: Solve for x
    x = 2,186,819.86/1,970.82
  6. Step 6: Final answer
    x = 1,109.60

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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.