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Finding the Fourth Proportional to 2,594.04, 3,890.51 and 839.21

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Solution

The fourth proportional to 2,594.04, 3,890.51 and 839.21 is: 1,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.04 : 3,890.51 = 839.21 : x
  2. Step 2: Convert to fraction form
    2,594.04/3,890.51 = 839.21/x
  3. Step 3: Cross multiply
    2,594.04x = 3,890.51 × 839.21
  4. Step 4: Simplify right side
    2,594.04x = 3,264,931.25
  5. Step 5: Solve for x
    x = 3,264,931.25/2,594.04
  6. Step 6: Final answer
    x = 1,258.63

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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.