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Finding the Fourth Proportional to 6,428.77, 8,869.10 and 4,189.86

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Solution

The fourth proportional to 6,428.77, 8,869.10 and 4,189.86 is: 5,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.77 : 8,869.10 = 4,189.86 : x
  2. Step 2: Convert to fraction form
    6,428.77/8,869.10 = 4,189.86/x
  3. Step 3: Cross multiply
    6,428.77x = 8,869.10 × 4,189.86
  4. Step 4: Simplify right side
    6,428.77x = 37,160,266.38
  5. Step 5: Solve for x
    x = 37,160,266.38/6,428.77
  6. Step 6: Final answer
    x = 5,780.31

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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.