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Finding the Fourth Proportional to 12,509, 17,262.96 and 6,920

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Solution

The fourth proportional to 12,509, 17,262.96 and 6,920 is: 9,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509 : 17,262.96 = 6,920 : x
  2. Step 2: Convert to fraction form
    12,509/17,262.96 = 6,920/x
  3. Step 3: Cross multiply
    12,509x = 17,262.96 × 6,920
  4. Step 4: Simplify right side
    12,509x = 119,459,683.20
  5. Step 5: Solve for x
    x = 119,459,683.20/12,509
  6. Step 6: Final answer
    x = 9,549.90

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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.