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Finding the Fourth Proportional to 6,495.72, 9,727.62 and 4,148.79

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Solution

The fourth proportional to 6,495.72, 9,727.62 and 4,148.79 is: 6,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.72 : 9,727.62 = 4,148.79 : x
  2. Step 2: Convert to fraction form
    6,495.72/9,727.62 = 4,148.79/x
  3. Step 3: Cross multiply
    6,495.72x = 9,727.62 × 4,148.79
  4. Step 4: Simplify right side
    6,495.72x = 40,357,852.58
  5. Step 5: Solve for x
    x = 40,357,852.58/6,495.72
  6. Step 6: Final answer
    x = 6,212.99

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1.5x scale

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.