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Finding the Fourth Proportional to 8,580.30, 12,858.30 and 6,341.70

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Solution

The fourth proportional to 8,580.30, 12,858.30 and 6,341.70 is: 9,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.30 : 12,858.30 = 6,341.70 : x
  2. Step 2: Convert to fraction form
    8,580.30/12,858.30 = 6,341.70/x
  3. Step 3: Cross multiply
    8,580.30x = 12,858.30 × 6,341.70
  4. Step 4: Simplify right side
    8,580.30x = 81,543,481.11
  5. Step 5: Solve for x
    x = 81,543,481.11/8,580.30
  6. Step 6: Final answer
    x = 9,503.57

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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.