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Finding the Fourth Proportional to 3,083, 4,254.54 and 1,685.76

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Solution

The fourth proportional to 3,083, 4,254.54 and 1,685.76 is: 2,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083 : 4,254.54 = 1,685.76 : x
  2. Step 2: Convert to fraction form
    3,083/4,254.54 = 1,685.76/x
  3. Step 3: Cross multiply
    3,083x = 4,254.54 × 1,685.76
  4. Step 4: Simplify right side
    3,083x = 7,172,133.35
  5. Step 5: Solve for x
    x = 7,172,133.35/3,083
  6. Step 6: Final answer
    x = 2,326.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.