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Finding the Fourth Proportional to 32,905.40, 49,358.10 and 9,212.90

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Solution

The fourth proportional to 32,905.40, 49,358.10 and 9,212.90 is: 13,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.40 : 49,358.10 = 9,212.90 : x
  2. Step 2: Convert to fraction form
    32,905.40/49,358.10 = 9,212.90/x
  3. Step 3: Cross multiply
    32,905.40x = 49,358.10 × 9,212.90
  4. Step 4: Simplify right side
    32,905.40x = 454,731,239.49
  5. Step 5: Solve for x
    x = 454,731,239.49/32,905.40
  6. Step 6: Final answer
    x = 13,819.35

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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.