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Finding the Fourth Proportional to 9,159, 13,739.16 and 6,709.32

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Solution

The fourth proportional to 9,159, 13,739.16 and 6,709.32 is: 10,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159 : 13,739.16 = 6,709.32 : x
  2. Step 2: Convert to fraction form
    9,159/13,739.16 = 6,709.32/x
  3. Step 3: Cross multiply
    9,159x = 13,739.16 × 6,709.32
  4. Step 4: Simplify right side
    9,159x = 92,180,420.97
  5. Step 5: Solve for x
    x = 92,180,420.97/9,159
  6. Step 6: Final answer
    x = 10,064.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.