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Finding the Fourth Proportional to 9,785.52, 13,502.64 and 5,805.60

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Solution

The fourth proportional to 9,785.52, 13,502.64 and 5,805.60 is: 8,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.52 : 13,502.64 = 5,805.60 : x
  2. Step 2: Convert to fraction form
    9,785.52/13,502.64 = 5,805.60/x
  3. Step 3: Cross multiply
    9,785.52x = 13,502.64 × 5,805.60
  4. Step 4: Simplify right side
    9,785.52x = 78,390,926.78
  5. Step 5: Solve for x
    x = 78,390,926.78/9,785.52
  6. Step 6: Final answer
    x = 8,010.91

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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.