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Finding the Fourth Proportional to 14,807.95, 20,421.74 and 12,286.06

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Solution

The fourth proportional to 14,807.95, 20,421.74 and 12,286.06 is: 16,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.95 : 20,421.74 = 12,286.06 : x
  2. Step 2: Convert to fraction form
    14,807.95/20,421.74 = 12,286.06/x
  3. Step 3: Cross multiply
    14,807.95x = 20,421.74 × 12,286.06
  4. Step 4: Simplify right side
    14,807.95x = 250,902,722.94
  5. Step 5: Solve for x
    x = 250,902,722.94/14,807.95
  6. Step 6: Final answer
    x = 16,943.79

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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.