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Finding the Fourth Proportional to 4,356.88, 6,489.20 and 4,335.64

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Solution

The fourth proportional to 4,356.88, 6,489.20 and 4,335.64 is: 6,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.88 : 6,489.20 = 4,335.64 : x
  2. Step 2: Convert to fraction form
    4,356.88/6,489.20 = 4,335.64/x
  3. Step 3: Cross multiply
    4,356.88x = 6,489.20 × 4,335.64
  4. Step 4: Simplify right side
    4,356.88x = 28,134,835.09
  5. Step 5: Solve for x
    x = 28,134,835.09/4,356.88
  6. Step 6: Final answer
    x = 6,457.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.