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Finding the Fourth Proportional to 5,678.91, 7,837.56 and 3,321

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Solution

The fourth proportional to 5,678.91, 7,837.56 and 3,321 is: 4,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.91 : 7,837.56 = 3,321 : x
  2. Step 2: Convert to fraction form
    5,678.91/7,837.56 = 3,321/x
  3. Step 3: Cross multiply
    5,678.91x = 7,837.56 × 3,321
  4. Step 4: Simplify right side
    5,678.91x = 26,028,536.76
  5. Step 5: Solve for x
    x = 26,028,536.76/5,678.91
  6. Step 6: Final answer
    x = 4,583.37

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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.