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Finding the Fourth Proportional to 12,803.40, 17,668.76 and 7,138.50

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Solution

The fourth proportional to 12,803.40, 17,668.76 and 7,138.50 is: 9,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.40 : 17,668.76 = 7,138.50 : x
  2. Step 2: Convert to fraction form
    12,803.40/17,668.76 = 7,138.50/x
  3. Step 3: Cross multiply
    12,803.40x = 17,668.76 × 7,138.50
  4. Step 4: Simplify right side
    12,803.40x = 126,128,443.26
  5. Step 5: Solve for x
    x = 126,128,443.26/12,803.40
  6. Step 6: Final answer
    x = 9,851.17

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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.