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Finding the Fourth Proportional to 4,751.64, 7,128.68 and 1,977.39

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Solution

The fourth proportional to 4,751.64, 7,128.68 and 1,977.39 is: 2,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.64 : 7,128.68 = 1,977.39 : x
  2. Step 2: Convert to fraction form
    4,751.64/7,128.68 = 1,977.39/x
  3. Step 3: Cross multiply
    4,751.64x = 7,128.68 × 1,977.39
  4. Step 4: Simplify right side
    4,751.64x = 14,096,170.66
  5. Step 5: Solve for x
    x = 14,096,170.66/4,751.64
  6. Step 6: Final answer
    x = 2,966.59

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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.