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Finding the Fourth Proportional to 13,780, 20,670 and 4,546.72

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Solution

The fourth proportional to 13,780, 20,670 and 4,546.72 is: 6,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780 : 20,670 = 4,546.72 : x
  2. Step 2: Convert to fraction form
    13,780/20,670 = 4,546.72/x
  3. Step 3: Cross multiply
    13,780x = 20,670 × 4,546.72
  4. Step 4: Simplify right side
    13,780x = 93,980,702.40
  5. Step 5: Solve for x
    x = 93,980,702.40/13,780
  6. Step 6: Final answer
    x = 6,820.08

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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.