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Finding the Fourth Proportional to 2,030.94, 2,803.07 and 1,284.39

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Solution

The fourth proportional to 2,030.94, 2,803.07 and 1,284.39 is: 1,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.94 : 2,803.07 = 1,284.39 : x
  2. Step 2: Convert to fraction form
    2,030.94/2,803.07 = 1,284.39/x
  3. Step 3: Cross multiply
    2,030.94x = 2,803.07 × 1,284.39
  4. Step 4: Simplify right side
    2,030.94x = 3,600,238.29
  5. Step 5: Solve for x
    x = 3,600,238.29/2,030.94
  6. Step 6: Final answer
    x = 1,772.70

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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.