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Finding the Fourth Proportional to 2,038.96, 2,813.64 and 1,210.96

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Solution

The fourth proportional to 2,038.96, 2,813.64 and 1,210.96 is: 1,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.96 : 2,813.64 = 1,210.96 : x
  2. Step 2: Convert to fraction form
    2,038.96/2,813.64 = 1,210.96/x
  3. Step 3: Cross multiply
    2,038.96x = 2,813.64 × 1,210.96
  4. Step 4: Simplify right side
    2,038.96x = 3,407,205.49
  5. Step 5: Solve for x
    x = 3,407,205.49/2,038.96
  6. Step 6: Final answer
    x = 1,671.05

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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.