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Finding the Fourth Proportional to 11,693.68, 17,551.72 and 7,319.92

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Solution

The fourth proportional to 11,693.68, 17,551.72 and 7,319.92 is: 10,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.68 : 17,551.72 = 7,319.92 : x
  2. Step 2: Convert to fraction form
    11,693.68/17,551.72 = 7,319.92/x
  3. Step 3: Cross multiply
    11,693.68x = 17,551.72 × 7,319.92
  4. Step 4: Simplify right side
    11,693.68x = 128,477,186.26
  5. Step 5: Solve for x
    x = 128,477,186.26/11,693.68
  6. Step 6: Final answer
    x = 10,986.89

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1.5x scale

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.