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Finding the Fourth Proportional to 10,129.44, 13,978.90 and 5,653.18

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Solution

The fourth proportional to 10,129.44, 13,978.90 and 5,653.18 is: 7,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.44 : 13,978.90 = 5,653.18 : x
  2. Step 2: Convert to fraction form
    10,129.44/13,978.90 = 5,653.18/x
  3. Step 3: Cross multiply
    10,129.44x = 13,978.90 × 5,653.18
  4. Step 4: Simplify right side
    10,129.44x = 79,025,237.90
  5. Step 5: Solve for x
    x = 79,025,237.90/10,129.44
  6. Step 6: Final answer
    x = 7,801.54

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1.5x scale

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.