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Finding the Fourth Proportional to 31,830.40, 47,748.08 and 9,645.60

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Solution

The fourth proportional to 31,830.40, 47,748.08 and 9,645.60 is: 14,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.40 : 47,748.08 = 9,645.60 : x
  2. Step 2: Convert to fraction form
    31,830.40/47,748.08 = 9,645.60/x
  3. Step 3: Cross multiply
    31,830.40x = 47,748.08 × 9,645.60
  4. Step 4: Simplify right side
    31,830.40x = 460,558,880.45
  5. Step 5: Solve for x
    x = 460,558,880.45/31,830.40
  6. Step 6: Final answer
    x = 14,469.15

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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.