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Finding the Fourth Proportional to 9,480.76, 13,077.80 and 5,937.82

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Solution

The fourth proportional to 9,480.76, 13,077.80 and 5,937.82 is: 8,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.76 : 13,077.80 = 5,937.82 : x
  2. Step 2: Convert to fraction form
    9,480.76/13,077.80 = 5,937.82/x
  3. Step 3: Cross multiply
    9,480.76x = 13,077.80 × 5,937.82
  4. Step 4: Simplify right side
    9,480.76x = 77,653,622.40
  5. Step 5: Solve for x
    x = 77,653,622.40/9,480.76
  6. Step 6: Final answer
    x = 8,190.65

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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.