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Finding the Fourth Proportional to 1,543.96, 2,131.11 and 1,512.98

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Solution

The fourth proportional to 1,543.96, 2,131.11 and 1,512.98 is: 2,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.96 : 2,131.11 = 1,512.98 : x
  2. Step 2: Convert to fraction form
    1,543.96/2,131.11 = 1,512.98/x
  3. Step 3: Cross multiply
    1,543.96x = 2,131.11 × 1,512.98
  4. Step 4: Simplify right side
    1,543.96x = 3,224,324.14
  5. Step 5: Solve for x
    x = 3,224,324.14/1,543.96
  6. Step 6: Final answer
    x = 2,088.35

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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.