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Finding the Fourth Proportional to 31,638, 47,457.08 and 9,449.64

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Solution

The fourth proportional to 31,638, 47,457.08 and 9,449.64 is: 14,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638 : 47,457.08 = 9,449.64 : x
  2. Step 2: Convert to fraction form
    31,638/47,457.08 = 9,449.64/x
  3. Step 3: Cross multiply
    31,638x = 47,457.08 × 9,449.64
  4. Step 4: Simplify right side
    31,638x = 448,452,274.20
  5. Step 5: Solve for x
    x = 448,452,274.20/31,638
  6. Step 6: Final answer
    x = 14,174.48

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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.