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Finding the Fourth Proportional to 10,297, 15,445.48 and 3,638.43

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Solution

The fourth proportional to 10,297, 15,445.48 and 3,638.43 is: 5,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297 : 15,445.48 = 3,638.43 : x
  2. Step 2: Convert to fraction form
    10,297/15,445.48 = 3,638.43/x
  3. Step 3: Cross multiply
    10,297x = 15,445.48 × 3,638.43
  4. Step 4: Simplify right side
    10,297x = 56,197,297.80
  5. Step 5: Solve for x
    x = 56,197,297.80/10,297
  6. Step 6: Final answer
    x = 5,457.64

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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.