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Finding the Fourth Proportional to 2,572.51, 3,857.63 and 817.19

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Solution

The fourth proportional to 2,572.51, 3,857.63 and 817.19 is: 1,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.51 : 3,857.63 = 817.19 : x
  2. Step 2: Convert to fraction form
    2,572.51/3,857.63 = 817.19/x
  3. Step 3: Cross multiply
    2,572.51x = 3,857.63 × 817.19
  4. Step 4: Simplify right side
    2,572.51x = 3,152,407.75
  5. Step 5: Solve for x
    x = 3,152,407.75/2,572.51
  6. Step 6: Final answer
    x = 1,225.42

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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.