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Finding the Fourth Proportional to 4,538.40, 6,804 and 4,178.40

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Solution

The fourth proportional to 4,538.40, 6,804 and 4,178.40 is: 6,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.40 : 6,804 = 4,178.40 : x
  2. Step 2: Convert to fraction form
    4,538.40/6,804 = 4,178.40/x
  3. Step 3: Cross multiply
    4,538.40x = 6,804 × 4,178.40
  4. Step 4: Simplify right side
    4,538.40x = 28,429,833.60
  5. Step 5: Solve for x
    x = 28,429,833.60/4,538.40
  6. Step 6: Final answer
    x = 6,264.29

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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.