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Finding the Fourth Proportional to 2,543.85, 3,509.60 and 2,012.90

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Solution

The fourth proportional to 2,543.85, 3,509.60 and 2,012.90 is: 2,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.85 : 3,509.60 = 2,012.90 : x
  2. Step 2: Convert to fraction form
    2,543.85/3,509.60 = 2,012.90/x
  3. Step 3: Cross multiply
    2,543.85x = 3,509.60 × 2,012.90
  4. Step 4: Simplify right side
    2,543.85x = 7,064,446.23
  5. Step 5: Solve for x
    x = 7,064,446.23/2,543.85
  6. Step 6: Final answer
    x = 2,777.07

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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.