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Finding the Fourth Proportional to 1,874.58, 2,812.47 and 900.75

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Solution

The fourth proportional to 1,874.58, 2,812.47 and 900.75 is: 1,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.58 : 2,812.47 = 900.75 : x
  2. Step 2: Convert to fraction form
    1,874.58/2,812.47 = 900.75/x
  3. Step 3: Cross multiply
    1,874.58x = 2,812.47 × 900.75
  4. Step 4: Simplify right side
    1,874.58x = 2,533,332.35
  5. Step 5: Solve for x
    x = 2,533,332.35/1,874.58
  6. Step 6: Final answer
    x = 1,351.41

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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.