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Finding the Fourth Proportional to 14,808.30, 20,434.68 and 8,434.86

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Solution

The fourth proportional to 14,808.30, 20,434.68 and 8,434.86 is: 11,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.30 : 20,434.68 = 8,434.86 : x
  2. Step 2: Convert to fraction form
    14,808.30/20,434.68 = 8,434.86/x
  3. Step 3: Cross multiply
    14,808.30x = 20,434.68 × 8,434.86
  4. Step 4: Simplify right side
    14,808.30x = 172,363,664.94
  5. Step 5: Solve for x
    x = 172,363,664.94/14,808.30
  6. Step 6: Final answer
    x = 11,639.67

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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.