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Finding the Fourth Proportional to 9,399.04, 13,008 and 8,077.12

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Solution

The fourth proportional to 9,399.04, 13,008 and 8,077.12 is: 11,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.04 : 13,008 = 8,077.12 : x
  2. Step 2: Convert to fraction form
    9,399.04/13,008 = 8,077.12/x
  3. Step 3: Cross multiply
    9,399.04x = 13,008 × 8,077.12
  4. Step 4: Simplify right side
    9,399.04x = 105,067,176.96
  5. Step 5: Solve for x
    x = 105,067,176.96/9,399.04
  6. Step 6: Final answer
    x = 11,178.50

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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.