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Finding the Fourth Proportional to 14,622.07, 20,178 and 8,248.57

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Solution

The fourth proportional to 14,622.07, 20,178 and 8,248.57 is: 11,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622.07 : 20,178 = 8,248.57 : x
  2. Step 2: Convert to fraction form
    14,622.07/20,178 = 8,248.57/x
  3. Step 3: Cross multiply
    14,622.07x = 20,178 × 8,248.57
  4. Step 4: Simplify right side
    14,622.07x = 166,439,645.46
  5. Step 5: Solve for x
    x = 166,439,645.46/14,622.07
  6. Step 6: Final answer
    x = 11,382.77

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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.