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Finding the Fourth Proportional to 8,424.65, 11,628.33 and 4,889

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Solution

The fourth proportional to 8,424.65, 11,628.33 and 4,889 is: 6,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.65 : 11,628.33 = 4,889 : x
  2. Step 2: Convert to fraction form
    8,424.65/11,628.33 = 4,889/x
  3. Step 3: Cross multiply
    8,424.65x = 11,628.33 × 4,889
  4. Step 4: Simplify right side
    8,424.65x = 56,850,905.37
  5. Step 5: Solve for x
    x = 56,850,905.37/8,424.65
  6. Step 6: Final answer
    x = 6,748.16

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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.