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Finding the Fourth Proportional to 8,580.56, 12,873.40 and 4,930

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Solution

The fourth proportional to 8,580.56, 12,873.40 and 4,930 is: 7,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.56 : 12,873.40 = 4,930 : x
  2. Step 2: Convert to fraction form
    8,580.56/12,873.40 = 4,930/x
  3. Step 3: Cross multiply
    8,580.56x = 12,873.40 × 4,930
  4. Step 4: Simplify right side
    8,580.56x = 63,465,862
  5. Step 5: Solve for x
    x = 63,465,862/8,580.56
  6. Step 6: Final answer
    x = 7,396.47

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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.