Home / 1,871.84-2,582.40-1,208.64

Finding the Fourth Proportional to 1,871.84, 2,582.40 and 1,208.64

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Solution

The fourth proportional to 1,871.84, 2,582.40 and 1,208.64 is: 1,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.84 : 2,582.40 = 1,208.64 : x
  2. Step 2: Convert to fraction form
    1,871.84/2,582.40 = 1,208.64/x
  3. Step 3: Cross multiply
    1,871.84x = 2,582.40 × 1,208.64
  4. Step 4: Simplify right side
    1,871.84x = 3,121,191.94
  5. Step 5: Solve for x
    x = 3,121,191.94/1,871.84
  6. Step 6: Final answer
    x = 1,667.45

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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.