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Finding the Fourth Proportional to 2,483.76, 3,423.78 and 1,958.88

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Solution

The fourth proportional to 2,483.76, 3,423.78 and 1,958.88 is: 2,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.76 : 3,423.78 = 1,958.88 : x
  2. Step 2: Convert to fraction form
    2,483.76/3,423.78 = 1,958.88/x
  3. Step 3: Cross multiply
    2,483.76x = 3,423.78 × 1,958.88
  4. Step 4: Simplify right side
    2,483.76x = 6,706,774.17
  5. Step 5: Solve for x
    x = 6,706,774.17/2,483.76
  6. Step 6: Final answer
    x = 2,700.25

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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.