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Finding the Fourth Proportional to 12,776, 17,632.50 and 7,188.08

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Solution

The fourth proportional to 12,776, 17,632.50 and 7,188.08 is: 9,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776 : 17,632.50 = 7,188.08 : x
  2. Step 2: Convert to fraction form
    12,776/17,632.50 = 7,188.08/x
  3. Step 3: Cross multiply
    12,776x = 17,632.50 × 7,188.08
  4. Step 4: Simplify right side
    12,776x = 126,743,820.60
  5. Step 5: Solve for x
    x = 126,743,820.60/12,776
  6. Step 6: Final answer
    x = 9,920.46

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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.