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Finding the Fourth Proportional to 8,378.20, 11,562 and 4,601.40

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Solution

The fourth proportional to 8,378.20, 11,562 and 4,601.40 is: 6,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.20 : 11,562 = 4,601.40 : x
  2. Step 2: Convert to fraction form
    8,378.20/11,562 = 4,601.40/x
  3. Step 3: Cross multiply
    8,378.20x = 11,562 × 4,601.40
  4. Step 4: Simplify right side
    8,378.20x = 53,201,386.80
  5. Step 5: Solve for x
    x = 53,201,386.80/8,378.20
  6. Step 6: Final answer
    x = 6,349.98

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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.