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Finding the Fourth Proportional to 6,427, 8,870.48 and 3,632.50

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Solution

The fourth proportional to 6,427, 8,870.48 and 3,632.50 is: 5,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427 : 8,870.48 = 3,632.50 : x
  2. Step 2: Convert to fraction form
    6,427/8,870.48 = 3,632.50/x
  3. Step 3: Cross multiply
    6,427x = 8,870.48 × 3,632.50
  4. Step 4: Simplify right side
    6,427x = 32,222,018.60
  5. Step 5: Solve for x
    x = 32,222,018.60/6,427
  6. Step 6: Final answer
    x = 5,013.54

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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.