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Finding the Fourth Proportional to 10,130.98, 13,978.50 and 5,879.58

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Solution

The fourth proportional to 10,130.98, 13,978.50 and 5,879.58 is: 8,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.98 : 13,978.50 = 5,879.58 : x
  2. Step 2: Convert to fraction form
    10,130.98/13,978.50 = 5,879.58/x
  3. Step 3: Cross multiply
    10,130.98x = 13,978.50 × 5,879.58
  4. Step 4: Simplify right side
    10,130.98x = 82,187,709.03
  5. Step 5: Solve for x
    x = 82,187,709.03/10,130.98
  6. Step 6: Final answer
    x = 8,112.51

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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.