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Finding the Fourth Proportional to 30,679.92, 46,009.92 and 9,898.56

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Solution

The fourth proportional to 30,679.92, 46,009.92 and 9,898.56 is: 14,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.92 : 46,009.92 = 9,898.56 : x
  2. Step 2: Convert to fraction form
    30,679.92/46,009.92 = 9,898.56/x
  3. Step 3: Cross multiply
    30,679.92x = 46,009.92 × 9,898.56
  4. Step 4: Simplify right side
    30,679.92x = 455,431,953.72
  5. Step 5: Solve for x
    x = 455,431,953.72/30,679.92
  6. Step 6: Final answer
    x = 14,844.63

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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.