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Finding the Fourth Proportional to 30,443.64, 45,669.77 and 9,385.40

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Solution

The fourth proportional to 30,443.64, 45,669.77 and 9,385.40 is: 14,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.64 : 45,669.77 = 9,385.40 : x
  2. Step 2: Convert to fraction form
    30,443.64/45,669.77 = 9,385.40/x
  3. Step 3: Cross multiply
    30,443.64x = 45,669.77 × 9,385.40
  4. Step 4: Simplify right side
    30,443.64x = 428,628,784.08
  5. Step 5: Solve for x
    x = 428,628,784.08/30,443.64
  6. Step 6: Final answer
    x = 14,079.42

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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.