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Finding the Fourth Proportional to 14,426.04, 19,908 and 8,457.80

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Solution

The fourth proportional to 14,426.04, 19,908 and 8,457.80 is: 11,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.04 : 19,908 = 8,457.80 : x
  2. Step 2: Convert to fraction form
    14,426.04/19,908 = 8,457.80/x
  3. Step 3: Cross multiply
    14,426.04x = 19,908 × 8,457.80
  4. Step 4: Simplify right side
    14,426.04x = 168,377,882.40
  5. Step 5: Solve for x
    x = 168,377,882.40/14,426.04
  6. Step 6: Final answer
    x = 11,671.80

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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.