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Finding the Fourth Proportional to 13,905, 20,857.68 and 4,671

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Solution

The fourth proportional to 13,905, 20,857.68 and 4,671 is: 7,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905 : 20,857.68 = 4,671 : x
  2. Step 2: Convert to fraction form
    13,905/20,857.68 = 4,671/x
  3. Step 3: Cross multiply
    13,905x = 20,857.68 × 4,671
  4. Step 4: Simplify right side
    13,905x = 97,426,223.28
  5. Step 5: Solve for x
    x = 97,426,223.28/13,905
  6. Step 6: Final answer
    x = 7,006.56

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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.