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Finding the Fourth Proportional to 19,612.64, 29,409.72 and 7,123.86

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Solution

The fourth proportional to 19,612.64, 29,409.72 and 7,123.86 is: 10,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,612.64 : 29,409.72 = 7,123.86 : x
  2. Step 2: Convert to fraction form
    19,612.64/29,409.72 = 7,123.86/x
  3. Step 3: Cross multiply
    19,612.64x = 29,409.72 × 7,123.86
  4. Step 4: Simplify right side
    19,612.64x = 209,510,754.63
  5. Step 5: Solve for x
    x = 209,510,754.63/19,612.64
  6. Step 6: Final answer
    x = 10,682.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.