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Finding the Fourth Proportional to 3,513, 5,266.76 and 1,758.70

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Solution

The fourth proportional to 3,513, 5,266.76 and 1,758.70 is: 2,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513 : 5,266.76 = 1,758.70 : x
  2. Step 2: Convert to fraction form
    3,513/5,266.76 = 1,758.70/x
  3. Step 3: Cross multiply
    3,513x = 5,266.76 × 1,758.70
  4. Step 4: Simplify right side
    3,513x = 9,262,650.81
  5. Step 5: Solve for x
    x = 9,262,650.81/3,513
  6. Step 6: Final answer
    x = 2,636.68

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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.