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Finding the Fourth Proportional to 3,518.93, 5,275.90 and 1,762.68

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Solution

The fourth proportional to 3,518.93, 5,275.90 and 1,762.68 is: 2,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.93 : 5,275.90 = 1,762.68 : x
  2. Step 2: Convert to fraction form
    3,518.93/5,275.90 = 1,762.68/x
  3. Step 3: Cross multiply
    3,518.93x = 5,275.90 × 1,762.68
  4. Step 4: Simplify right side
    3,518.93x = 9,299,715.72
  5. Step 5: Solve for x
    x = 9,299,715.72/3,518.93
  6. Step 6: Final answer
    x = 2,642.77

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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.