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Finding the Fourth Proportional to 13,705.29, 20,557.93 and 4,938.15

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Solution

The fourth proportional to 13,705.29, 20,557.93 and 4,938.15 is: 7,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.29 : 20,557.93 = 4,938.15 : x
  2. Step 2: Convert to fraction form
    13,705.29/20,557.93 = 4,938.15/x
  3. Step 3: Cross multiply
    13,705.29x = 20,557.93 × 4,938.15
  4. Step 4: Simplify right side
    13,705.29x = 101,518,142.03
  5. Step 5: Solve for x
    x = 101,518,142.03/13,705.29
  6. Step 6: Final answer
    x = 7,407.22

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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.