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Finding the Fourth Proportional to 3,189.95, 4,401.06 and 1,931.40

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Solution

The fourth proportional to 3,189.95, 4,401.06 and 1,931.40 is: 2,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.95 : 4,401.06 = 1,931.40 : x
  2. Step 2: Convert to fraction form
    3,189.95/4,401.06 = 1,931.40/x
  3. Step 3: Cross multiply
    3,189.95x = 4,401.06 × 1,931.40
  4. Step 4: Simplify right side
    3,189.95x = 8,500,207.28
  5. Step 5: Solve for x
    x = 8,500,207.28/3,189.95
  6. Step 6: Final answer
    x = 2,664.69

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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.