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Finding the Fourth Proportional to 30,456.03, 45,682.41 and 9,677.91

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Solution

The fourth proportional to 30,456.03, 45,682.41 and 9,677.91 is: 14,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.03 : 45,682.41 = 9,677.91 : x
  2. Step 2: Convert to fraction form
    30,456.03/45,682.41 = 9,677.91/x
  3. Step 3: Cross multiply
    30,456.03x = 45,682.41 × 9,677.91
  4. Step 4: Simplify right side
    30,456.03x = 442,110,252.56
  5. Step 5: Solve for x
    x = 442,110,252.56/30,456.03
  6. Step 6: Final answer
    x = 14,516.35

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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.