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Finding the Fourth Proportional to 13,983, 20,957.40 and 6,577.62

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Solution

The fourth proportional to 13,983, 20,957.40 and 6,577.62 is: 9,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983 : 20,957.40 = 6,577.62 : x
  2. Step 2: Convert to fraction form
    13,983/20,957.40 = 6,577.62/x
  3. Step 3: Cross multiply
    13,983x = 20,957.40 × 6,577.62
  4. Step 4: Simplify right side
    13,983x = 137,849,813.39
  5. Step 5: Solve for x
    x = 137,849,813.39/13,983
  6. Step 6: Final answer
    x = 9,858.39

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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.