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Finding the Fourth Proportional to 1,971.48, 2,957.21 and 739.47

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Solution

The fourth proportional to 1,971.48, 2,957.21 and 739.47 is: 1,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.48 : 2,957.21 = 739.47 : x
  2. Step 2: Convert to fraction form
    1,971.48/2,957.21 = 739.47/x
  3. Step 3: Cross multiply
    1,971.48x = 2,957.21 × 739.47
  4. Step 4: Simplify right side
    1,971.48x = 2,186,753.29
  5. Step 5: Solve for x
    x = 2,186,753.29/1,971.48
  6. Step 6: Final answer
    x = 1,109.20

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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.