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Finding the Fourth Proportional to 5,175.03, 7,762.80 and 1,477.80

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Solution

The fourth proportional to 5,175.03, 7,762.80 and 1,477.80 is: 2,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.03 : 7,762.80 = 1,477.80 : x
  2. Step 2: Convert to fraction form
    5,175.03/7,762.80 = 1,477.80/x
  3. Step 3: Cross multiply
    5,175.03x = 7,762.80 × 1,477.80
  4. Step 4: Simplify right side
    5,175.03x = 11,471,865.84
  5. Step 5: Solve for x
    x = 11,471,865.84/5,175.03
  6. Step 6: Final answer
    x = 2,216.77

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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.