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Finding the Fourth Proportional to 14,807.21, 20,435.09 and 8,435.75

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Solution

The fourth proportional to 14,807.21, 20,435.09 and 8,435.75 is: 11,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.21 : 20,435.09 = 8,435.75 : x
  2. Step 2: Convert to fraction form
    14,807.21/20,435.09 = 8,435.75/x
  3. Step 3: Cross multiply
    14,807.21x = 20,435.09 × 8,435.75
  4. Step 4: Simplify right side
    14,807.21x = 172,385,166.11
  5. Step 5: Solve for x
    x = 172,385,166.11/14,807.21
  6. Step 6: Final answer
    x = 11,641.98

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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.