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Finding the Fourth Proportional to 14,684.31, 20,264.49 and 7,970

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Solution

The fourth proportional to 14,684.31, 20,264.49 and 7,970 is: 10,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.31 : 20,264.49 = 7,970 : x
  2. Step 2: Convert to fraction form
    14,684.31/20,264.49 = 7,970/x
  3. Step 3: Cross multiply
    14,684.31x = 20,264.49 × 7,970
  4. Step 4: Simplify right side
    14,684.31x = 161,507,985.30
  5. Step 5: Solve for x
    x = 161,507,985.30/14,684.31
  6. Step 6: Final answer
    x = 10,998.68

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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.