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Finding the Fourth Proportional to 8,425.65, 11,629.71 and 4,890

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Solution

The fourth proportional to 8,425.65, 11,629.71 and 4,890 is: 6,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.65 : 11,629.71 = 4,890 : x
  2. Step 2: Convert to fraction form
    8,425.65/11,629.71 = 4,890/x
  3. Step 3: Cross multiply
    8,425.65x = 11,629.71 × 4,890
  4. Step 4: Simplify right side
    8,425.65x = 56,869,281.90
  5. Step 5: Solve for x
    x = 56,869,281.90/8,425.65
  6. Step 6: Final answer
    x = 6,749.54

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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.