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Finding the Fourth Proportional to 9,605.40, 13,255.14 and 5,879.40

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Solution

The fourth proportional to 9,605.40, 13,255.14 and 5,879.40 is: 8,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.40 : 13,255.14 = 5,879.40 : x
  2. Step 2: Convert to fraction form
    9,605.40/13,255.14 = 5,879.40/x
  3. Step 3: Cross multiply
    9,605.40x = 13,255.14 × 5,879.40
  4. Step 4: Simplify right side
    9,605.40x = 77,932,270.12
  5. Step 5: Solve for x
    x = 77,932,270.12/9,605.40
  6. Step 6: Final answer
    x = 8,113.38

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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.