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Finding the Fourth Proportional to 4,262.64, 6,388.04 and 2,389.50

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Solution

The fourth proportional to 4,262.64, 6,388.04 and 2,389.50 is: 3,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.64 : 6,388.04 = 2,389.50 : x
  2. Step 2: Convert to fraction form
    4,262.64/6,388.04 = 2,389.50/x
  3. Step 3: Cross multiply
    4,262.64x = 6,388.04 × 2,389.50
  4. Step 4: Simplify right side
    4,262.64x = 15,264,221.58
  5. Step 5: Solve for x
    x = 15,264,221.58/4,262.64
  6. Step 6: Final answer
    x = 3,580.93

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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.