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Finding the Fourth Proportional to 12,710, 17,539.80 and 7,742

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Solution

The fourth proportional to 12,710, 17,539.80 and 7,742 is: 10,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710 : 17,539.80 = 7,742 : x
  2. Step 2: Convert to fraction form
    12,710/17,539.80 = 7,742/x
  3. Step 3: Cross multiply
    12,710x = 17,539.80 × 7,742
  4. Step 4: Simplify right side
    12,710x = 135,793,131.60
  5. Step 5: Solve for x
    x = 135,793,131.60/12,710
  6. Step 6: Final answer
    x = 10,683.96

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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.