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Finding the Fourth Proportional to 5,780.66, 7,977.29 and 3,128.06

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Solution

The fourth proportional to 5,780.66, 7,977.29 and 3,128.06 is: 4,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.66 : 7,977.29 = 3,128.06 : x
  2. Step 2: Convert to fraction form
    5,780.66/7,977.29 = 3,128.06/x
  3. Step 3: Cross multiply
    5,780.66x = 7,977.29 × 3,128.06
  4. Step 4: Simplify right side
    5,780.66x = 24,953,386.23
  5. Step 5: Solve for x
    x = 24,953,386.23/5,780.66
  6. Step 6: Final answer
    x = 4,316.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.