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Finding the Fourth Proportional to 2,535.09, 3,802.64 and 891.78

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Solution

The fourth proportional to 2,535.09, 3,802.64 and 891.78 is: 1,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.09 : 3,802.64 = 891.78 : x
  2. Step 2: Convert to fraction form
    2,535.09/3,802.64 = 891.78/x
  3. Step 3: Cross multiply
    2,535.09x = 3,802.64 × 891.78
  4. Step 4: Simplify right side
    2,535.09x = 3,391,113.84
  5. Step 5: Solve for x
    x = 3,391,113.84/2,535.09
  6. Step 6: Final answer
    x = 1,337.67

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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.