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Finding the Fourth Proportional to 14,932.30, 20,607.78 and 8,219.20

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Solution

The fourth proportional to 14,932.30, 20,607.78 and 8,219.20 is: 11,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.30 : 20,607.78 = 8,219.20 : x
  2. Step 2: Convert to fraction form
    14,932.30/20,607.78 = 8,219.20/x
  3. Step 3: Cross multiply
    14,932.30x = 20,607.78 × 8,219.20
  4. Step 4: Simplify right side
    14,932.30x = 169,379,465.38
  5. Step 5: Solve for x
    x = 169,379,465.38/14,932.30
  6. Step 6: Final answer
    x = 11,343.16

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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.