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Finding the Fourth Proportional to 2,842.57, 4,266.77 and 2,347.40

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Solution

The fourth proportional to 2,842.57, 4,266.77 and 2,347.40 is: 3,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.57 : 4,266.77 = 2,347.40 : x
  2. Step 2: Convert to fraction form
    2,842.57/4,266.77 = 2,347.40/x
  3. Step 3: Cross multiply
    2,842.57x = 4,266.77 × 2,347.40
  4. Step 4: Simplify right side
    2,842.57x = 10,015,812.43
  5. Step 5: Solve for x
    x = 10,015,812.43/2,842.57
  6. Step 6: Final answer
    x = 3,523.50

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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.