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Finding the Fourth Proportional to 12,509.28, 17,262.56 and 6,920.28

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Solution

The fourth proportional to 12,509.28, 17,262.56 and 6,920.28 is: 9,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.28 : 17,262.56 = 6,920.28 : x
  2. Step 2: Convert to fraction form
    12,509.28/17,262.56 = 6,920.28/x
  3. Step 3: Cross multiply
    12,509.28x = 17,262.56 × 6,920.28
  4. Step 4: Simplify right side
    12,509.28x = 119,461,748.72
  5. Step 5: Solve for x
    x = 119,461,748.72/12,509.28
  6. Step 6: Final answer
    x = 9,549.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.