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Finding the Fourth Proportional to 13,893.16, 20,841.90 and 4,657

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Solution

The fourth proportional to 13,893.16, 20,841.90 and 4,657 is: 6,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.16 : 20,841.90 = 4,657 : x
  2. Step 2: Convert to fraction form
    13,893.16/20,841.90 = 4,657/x
  3. Step 3: Cross multiply
    13,893.16x = 20,841.90 × 4,657
  4. Step 4: Simplify right side
    13,893.16x = 97,060,728.30
  5. Step 5: Solve for x
    x = 97,060,728.30/13,893.16
  6. Step 6: Final answer
    x = 6,986.22

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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.