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Finding the Fourth Proportional to 9,781.58, 13,496.16 and 5,803.64

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Solution

The fourth proportional to 9,781.58, 13,496.16 and 5,803.64 is: 8,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.58 : 13,496.16 = 5,803.64 : x
  2. Step 2: Convert to fraction form
    9,781.58/13,496.16 = 5,803.64/x
  3. Step 3: Cross multiply
    9,781.58x = 13,496.16 × 5,803.64
  4. Step 4: Simplify right side
    9,781.58x = 78,326,854.02
  5. Step 5: Solve for x
    x = 78,326,854.02/9,781.58
  6. Step 6: Final answer
    x = 8,007.59

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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.