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Finding the Fourth Proportional to 30,440.80, 45,668.40 and 9,664.30

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Solution

The fourth proportional to 30,440.80, 45,668.40 and 9,664.30 is: 14,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,440.80 : 45,668.40 = 9,664.30 : x
  2. Step 2: Convert to fraction form
    30,440.80/45,668.40 = 9,664.30/x
  3. Step 3: Cross multiply
    30,440.80x = 45,668.40 × 9,664.30
  4. Step 4: Simplify right side
    30,440.80x = 441,353,118.12
  5. Step 5: Solve for x
    x = 441,353,118.12/30,440.80
  6. Step 6: Final answer
    x = 14,498.74

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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.