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Finding the Fourth Proportional to 2,543.19, 3,814.92 and 900.51

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Solution

The fourth proportional to 2,543.19, 3,814.92 and 900.51 is: 1,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.19 : 3,814.92 = 900.51 : x
  2. Step 2: Convert to fraction form
    2,543.19/3,814.92 = 900.51/x
  3. Step 3: Cross multiply
    2,543.19x = 3,814.92 × 900.51
  4. Step 4: Simplify right side
    2,543.19x = 3,435,373.61
  5. Step 5: Solve for x
    x = 3,435,373.61/2,543.19
  6. Step 6: Final answer
    x = 1,350.81

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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.