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Finding the Fourth Proportional to 5,780.81, 7,977.53 and 3,128.21

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Solution

The fourth proportional to 5,780.81, 7,977.53 and 3,128.21 is: 4,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.81 : 7,977.53 = 3,128.21 : x
  2. Step 2: Convert to fraction form
    5,780.81/7,977.53 = 3,128.21/x
  3. Step 3: Cross multiply
    5,780.81x = 7,977.53 × 3,128.21
  4. Step 4: Simplify right side
    5,780.81x = 24,955,416.89
  5. Step 5: Solve for x
    x = 24,955,416.89/5,780.81
  6. Step 6: Final answer
    x = 4,316.94

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1.5x scale

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.