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Finding the Fourth Proportional to 14,489.86, 19,996.30 and 9,457.30

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Solution

The fourth proportional to 14,489.86, 19,996.30 and 9,457.30 is: 13,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.86 : 19,996.30 = 9,457.30 : x
  2. Step 2: Convert to fraction form
    14,489.86/19,996.30 = 9,457.30/x
  3. Step 3: Cross multiply
    14,489.86x = 19,996.30 × 9,457.30
  4. Step 4: Simplify right side
    14,489.86x = 189,111,007.99
  5. Step 5: Solve for x
    x = 189,111,007.99/14,489.86
  6. Step 6: Final answer
    x = 13,051.27

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1.5x scale

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.