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Finding the Fourth Proportional to 14,656, 20,224.68 and 8,605.42

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Solution

The fourth proportional to 14,656, 20,224.68 and 8,605.42 is: 11,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656 : 20,224.68 = 8,605.42 : x
  2. Step 2: Convert to fraction form
    14,656/20,224.68 = 8,605.42/x
  3. Step 3: Cross multiply
    14,656x = 20,224.68 × 8,605.42
  4. Step 4: Simplify right side
    14,656x = 174,041,865.77
  5. Step 5: Solve for x
    x = 174,041,865.77/14,656
  6. Step 6: Final answer
    x = 11,875.13

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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.