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Finding the Fourth Proportional to 14,457.43, 19,957.74 and 8,489.47

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Solution

The fourth proportional to 14,457.43, 19,957.74 and 8,489.47 is: 11,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.43 : 19,957.74 = 8,489.47 : x
  2. Step 2: Convert to fraction form
    14,457.43/19,957.74 = 8,489.47/x
  3. Step 3: Cross multiply
    14,457.43x = 19,957.74 × 8,489.47
  4. Step 4: Simplify right side
    14,457.43x = 169,430,635.00
  5. Step 5: Solve for x
    x = 169,430,635.00/14,457.43
  6. Step 6: Final answer
    x = 11,719.28

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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.