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Finding the Fourth Proportional to 1,748.21, 2,621.54 and 824.03

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Solution

The fourth proportional to 1,748.21, 2,621.54 and 824.03 is: 1,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.21 : 2,621.54 = 824.03 : x
  2. Step 2: Convert to fraction form
    1,748.21/2,621.54 = 824.03/x
  3. Step 3: Cross multiply
    1,748.21x = 2,621.54 × 824.03
  4. Step 4: Simplify right side
    1,748.21x = 2,160,210.38
  5. Step 5: Solve for x
    x = 2,160,210.38/1,748.21
  6. Step 6: Final answer
    x = 1,235.67

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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.