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Finding the Fourth Proportional to 5,156.54, 7,114.40 and 3,031.40

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Solution

The fourth proportional to 5,156.54, 7,114.40 and 3,031.40 is: 4,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.54 : 7,114.40 = 3,031.40 : x
  2. Step 2: Convert to fraction form
    5,156.54/7,114.40 = 3,031.40/x
  3. Step 3: Cross multiply
    5,156.54x = 7,114.40 × 3,031.40
  4. Step 4: Simplify right side
    5,156.54x = 21,566,564.17
  5. Step 5: Solve for x
    x = 21,566,564.17/5,156.54
  6. Step 6: Final answer
    x = 4,182.37

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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.