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Finding the Fourth Proportional to 13,305.64, 19,962.78 and 6,379.24

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Solution

The fourth proportional to 13,305.64, 19,962.78 and 6,379.24 is: 9,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.64 : 19,962.78 = 6,379.24 : x
  2. Step 2: Convert to fraction form
    13,305.64/19,962.78 = 6,379.24/x
  3. Step 3: Cross multiply
    13,305.64x = 19,962.78 × 6,379.24
  4. Step 4: Simplify right side
    13,305.64x = 127,347,364.69
  5. Step 5: Solve for x
    x = 127,347,364.69/13,305.64
  6. Step 6: Final answer
    x = 9,570.93

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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.