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Finding the Fourth Proportional to 13,020, 17,967.67 and 7,051.69

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Solution

The fourth proportional to 13,020, 17,967.67 and 7,051.69 is: 9,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020 : 17,967.67 = 7,051.69 : x
  2. Step 2: Convert to fraction form
    13,020/17,967.67 = 7,051.69/x
  3. Step 3: Cross multiply
    13,020x = 17,967.67 × 7,051.69
  4. Step 4: Simplify right side
    13,020x = 126,702,349.02
  5. Step 5: Solve for x
    x = 126,702,349.02/13,020
  6. Step 6: Final answer
    x = 9,731.36

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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.