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Finding the Fourth Proportional to 6,448.48, 9,659.76 and 3,364

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Solution

The fourth proportional to 6,448.48, 9,659.76 and 3,364 is: 5,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.48 : 9,659.76 = 3,364 : x
  2. Step 2: Convert to fraction form
    6,448.48/9,659.76 = 3,364/x
  3. Step 3: Cross multiply
    6,448.48x = 9,659.76 × 3,364
  4. Step 4: Simplify right side
    6,448.48x = 32,495,432.64
  5. Step 5: Solve for x
    x = 32,495,432.64/6,448.48
  6. Step 6: Final answer
    x = 5,039.24

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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.