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Finding the Fourth Proportional to 1,957.66, 2,933.75 and 1,407.26

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Solution

The fourth proportional to 1,957.66, 2,933.75 and 1,407.26 is: 2,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.66 : 2,933.75 = 1,407.26 : x
  2. Step 2: Convert to fraction form
    1,957.66/2,933.75 = 1,407.26/x
  3. Step 3: Cross multiply
    1,957.66x = 2,933.75 × 1,407.26
  4. Step 4: Simplify right side
    1,957.66x = 4,128,549.03
  5. Step 5: Solve for x
    x = 4,128,549.03/1,957.66
  6. Step 6: Final answer
    x = 2,108.92

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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.