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Finding the Fourth Proportional to 22,457.97, 30,991.63 and 12,898.06

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Solution

The fourth proportional to 22,457.97, 30,991.63 and 12,898.06 is: 17,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.97 : 30,991.63 = 12,898.06 : x
  2. Step 2: Convert to fraction form
    22,457.97/30,991.63 = 12,898.06/x
  3. Step 3: Cross multiply
    22,457.97x = 30,991.63 × 12,898.06
  4. Step 4: Simplify right side
    22,457.97x = 399,731,903.24
  5. Step 5: Solve for x
    x = 399,731,903.24/22,457.97
  6. Step 6: Final answer
    x = 17,799.11

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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.