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Finding the Fourth Proportional to 3,678.63, 5,071.54 and 2,497.65

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Solution

The fourth proportional to 3,678.63, 5,071.54 and 2,497.65 is: 3,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.63 : 5,071.54 = 2,497.65 : x
  2. Step 2: Convert to fraction form
    3,678.63/5,071.54 = 2,497.65/x
  3. Step 3: Cross multiply
    3,678.63x = 5,071.54 × 2,497.65
  4. Step 4: Simplify right side
    3,678.63x = 12,666,919.39
  5. Step 5: Solve for x
    x = 12,666,919.39/3,678.63
  6. Step 6: Final answer
    x = 3,443.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.