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Finding the Fourth Proportional to 19,653.82, 29,475.53 and 13,412.71

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Solution

The fourth proportional to 19,653.82, 29,475.53 and 13,412.71 is: 20,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.82 : 29,475.53 = 13,412.71 : x
  2. Step 2: Convert to fraction form
    19,653.82/29,475.53 = 13,412.71/x
  3. Step 3: Cross multiply
    19,653.82x = 29,475.53 × 13,412.71
  4. Step 4: Simplify right side
    19,653.82x = 395,346,521.55
  5. Step 5: Solve for x
    x = 395,346,521.55/19,653.82
  6. Step 6: Final answer
    x = 20,115.51

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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.