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Finding the Fourth Proportional to 6,256.50, 9,385.32 and 1,639.50

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Solution

The fourth proportional to 6,256.50, 9,385.32 and 1,639.50 is: 2,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.50 : 9,385.32 = 1,639.50 : x
  2. Step 2: Convert to fraction form
    6,256.50/9,385.32 = 1,639.50/x
  3. Step 3: Cross multiply
    6,256.50x = 9,385.32 × 1,639.50
  4. Step 4: Simplify right side
    6,256.50x = 15,387,232.14
  5. Step 5: Solve for x
    x = 15,387,232.14/6,256.50
  6. Step 6: Final answer
    x = 2,459.40

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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.