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Finding the Fourth Proportional to 14,605.86, 20,154.65 and 8,942.21

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Solution

The fourth proportional to 14,605.86, 20,154.65 and 8,942.21 is: 12,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.86 : 20,154.65 = 8,942.21 : x
  2. Step 2: Convert to fraction form
    14,605.86/20,154.65 = 8,942.21/x
  3. Step 3: Cross multiply
    14,605.86x = 20,154.65 × 8,942.21
  4. Step 4: Simplify right side
    14,605.86x = 180,226,967.29
  5. Step 5: Solve for x
    x = 180,226,967.29/14,605.86
  6. Step 6: Final answer
    x = 12,339.36

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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.