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Finding the Fourth Proportional to 35,630.12, 53,457.54 and 13,449.88

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Solution

The fourth proportional to 35,630.12, 53,457.54 and 13,449.88 is: 20,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,630.12 : 53,457.54 = 13,449.88 : x
  2. Step 2: Convert to fraction form
    35,630.12/53,457.54 = 13,449.88/x
  3. Step 3: Cross multiply
    35,630.12x = 53,457.54 × 13,449.88
  4. Step 4: Simplify right side
    35,630.12x = 718,997,498.10
  5. Step 5: Solve for x
    x = 718,997,498.10/35,630.12
  6. Step 6: Final answer
    x = 20,179.49

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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.