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Finding the Fourth Proportional to 3,420.33, 5,130.64 and 955.29

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Solution

The fourth proportional to 3,420.33, 5,130.64 and 955.29 is: 1,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.33 : 5,130.64 = 955.29 : x
  2. Step 2: Convert to fraction form
    3,420.33/5,130.64 = 955.29/x
  3. Step 3: Cross multiply
    3,420.33x = 5,130.64 × 955.29
  4. Step 4: Simplify right side
    3,420.33x = 4,901,269.52
  5. Step 5: Solve for x
    x = 4,901,269.52/3,420.33
  6. Step 6: Final answer
    x = 1,432.98

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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.