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Finding the Fourth Proportional to 13,101.69, 19,654.98 and 4,342.77

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Solution

The fourth proportional to 13,101.69, 19,654.98 and 4,342.77 is: 6,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.69 : 19,654.98 = 4,342.77 : x
  2. Step 2: Convert to fraction form
    13,101.69/19,654.98 = 4,342.77/x
  3. Step 3: Cross multiply
    13,101.69x = 19,654.98 × 4,342.77
  4. Step 4: Simplify right side
    13,101.69x = 85,357,057.49
  5. Step 5: Solve for x
    x = 85,357,057.49/13,101.69
  6. Step 6: Final answer
    x = 6,514.97

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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.