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Finding the Fourth Proportional to 5,857.49, 8,754.58 and 5,390.48

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Solution

The fourth proportional to 5,857.49, 8,754.58 and 5,390.48 is: 8,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.49 : 8,754.58 = 5,390.48 : x
  2. Step 2: Convert to fraction form
    5,857.49/8,754.58 = 5,390.48/x
  3. Step 3: Cross multiply
    5,857.49x = 8,754.58 × 5,390.48
  4. Step 4: Simplify right side
    5,857.49x = 47,191,388.40
  5. Step 5: Solve for x
    x = 47,191,388.40/5,857.49
  6. Step 6: Final answer
    x = 8,056.59

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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.