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Finding the Fourth Proportional to 3,927.40, 5,430.18 and 3,435.40

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Solution

The fourth proportional to 3,927.40, 5,430.18 and 3,435.40 is: 4,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.40 : 5,430.18 = 3,435.40 : x
  2. Step 2: Convert to fraction form
    3,927.40/5,430.18 = 3,435.40/x
  3. Step 3: Cross multiply
    3,927.40x = 5,430.18 × 3,435.40
  4. Step 4: Simplify right side
    3,927.40x = 18,654,840.37
  5. Step 5: Solve for x
    x = 18,654,840.37/3,927.40
  6. Step 6: Final answer
    x = 4,749.92

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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.