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Finding the Fourth Proportional to 13,023.30, 17,971.04 and 7,645.14

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Solution

The fourth proportional to 13,023.30, 17,971.04 and 7,645.14 is: 10,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.30 : 17,971.04 = 7,645.14 : x
  2. Step 2: Convert to fraction form
    13,023.30/17,971.04 = 7,645.14/x
  3. Step 3: Cross multiply
    13,023.30x = 17,971.04 × 7,645.14
  4. Step 4: Simplify right side
    13,023.30x = 137,391,116.75
  5. Step 5: Solve for x
    x = 137,391,116.75/13,023.30
  6. Step 6: Final answer
    x = 10,549.64

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1.5x scale

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.