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Finding the Fourth Proportional to 13,046, 18,003.48 and 7,457.12

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Solution

The fourth proportional to 13,046, 18,003.48 and 7,457.12 is: 10,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046 : 18,003.48 = 7,457.12 : x
  2. Step 2: Convert to fraction form
    13,046/18,003.48 = 7,457.12/x
  3. Step 3: Cross multiply
    13,046x = 18,003.48 × 7,457.12
  4. Step 4: Simplify right side
    13,046x = 134,254,110.78
  5. Step 5: Solve for x
    x = 134,254,110.78/13,046
  6. Step 6: Final answer
    x = 10,290.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.