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Finding the Fourth Proportional to 13,209.75, 19,814.76 and 6,187.68

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Solution

The fourth proportional to 13,209.75, 19,814.76 and 6,187.68 is: 9,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.75 : 19,814.76 = 6,187.68 : x
  2. Step 2: Convert to fraction form
    13,209.75/19,814.76 = 6,187.68/x
  3. Step 3: Cross multiply
    13,209.75x = 19,814.76 × 6,187.68
  4. Step 4: Simplify right side
    13,209.75x = 122,607,394.16
  5. Step 5: Solve for x
    x = 122,607,394.16/13,209.75
  6. Step 6: Final answer
    x = 9,281.58

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1.5x scale

Why These Related Problems?

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