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Finding the Fourth Proportional to 1,674.84, 2,305.89 and 1,438.32

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Solution

The fourth proportional to 1,674.84, 2,305.89 and 1,438.32 is: 1,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.84 : 2,305.89 = 1,438.32 : x
  2. Step 2: Convert to fraction form
    1,674.84/2,305.89 = 1,438.32/x
  3. Step 3: Cross multiply
    1,674.84x = 2,305.89 × 1,438.32
  4. Step 4: Simplify right side
    1,674.84x = 3,316,607.70
  5. Step 5: Solve for x
    x = 3,316,607.70/1,674.84
  6. Step 6: Final answer
    x = 1,980.25

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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.