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Finding the Fourth Proportional to 3,889.15, 5,822.29 and 2,570.47

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Solution

The fourth proportional to 3,889.15, 5,822.29 and 2,570.47 is: 3,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.15 : 5,822.29 = 2,570.47 : x
  2. Step 2: Convert to fraction form
    3,889.15/5,822.29 = 2,570.47/x
  3. Step 3: Cross multiply
    3,889.15x = 5,822.29 × 2,570.47
  4. Step 4: Simplify right side
    3,889.15x = 14,966,021.78
  5. Step 5: Solve for x
    x = 14,966,021.78/3,889.15
  6. Step 6: Final answer
    x = 3,848.15

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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.