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Finding the Fourth Proportional to 14,782.13, 20,402.76 and 9,747.26

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Solution

The fourth proportional to 14,782.13, 20,402.76 and 9,747.26 is: 13,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.13 : 20,402.76 = 9,747.26 : x
  2. Step 2: Convert to fraction form
    14,782.13/20,402.76 = 9,747.26/x
  3. Step 3: Cross multiply
    14,782.13x = 20,402.76 × 9,747.26
  4. Step 4: Simplify right side
    14,782.13x = 198,870,904.42
  5. Step 5: Solve for x
    x = 198,870,904.42/14,782.13
  6. Step 6: Final answer
    x = 13,453.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.