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Finding the Fourth Proportional to 9,789.31, 13,509.22 and 5,313.02

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Solution

The fourth proportional to 9,789.31, 13,509.22 and 5,313.02 is: 7,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.31 : 13,509.22 = 5,313.02 : x
  2. Step 2: Convert to fraction form
    9,789.31/13,509.22 = 5,313.02/x
  3. Step 3: Cross multiply
    9,789.31x = 13,509.22 × 5,313.02
  4. Step 4: Simplify right side
    9,789.31x = 71,774,756.04
  5. Step 5: Solve for x
    x = 71,774,756.04/9,789.31
  6. Step 6: Final answer
    x = 7,331.95

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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.