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Finding the Fourth Proportional to 13,262.68, 19,894.56 and 5,470.75

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Solution

The fourth proportional to 13,262.68, 19,894.56 and 5,470.75 is: 8,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.68 : 19,894.56 = 5,470.75 : x
  2. Step 2: Convert to fraction form
    13,262.68/19,894.56 = 5,470.75/x
  3. Step 3: Cross multiply
    13,262.68x = 19,894.56 × 5,470.75
  4. Step 4: Simplify right side
    13,262.68x = 108,838,164.12
  5. Step 5: Solve for x
    x = 108,838,164.12/13,262.68
  6. Step 6: Final answer
    x = 8,206.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.