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Finding the Fourth Proportional to 2,860.79, 4,291.34 and 912.84

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Solution

The fourth proportional to 2,860.79, 4,291.34 and 912.84 is: 1,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.79 : 4,291.34 = 912.84 : x
  2. Step 2: Convert to fraction form
    2,860.79/4,291.34 = 912.84/x
  3. Step 3: Cross multiply
    2,860.79x = 4,291.34 × 912.84
  4. Step 4: Simplify right side
    2,860.79x = 3,917,325.18
  5. Step 5: Solve for x
    x = 3,917,325.18/2,860.79
  6. Step 6: Final answer
    x = 1,369.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.