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Finding the Fourth Proportional to 9,289.15, 13,921.57 and 8,051.47

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Solution

The fourth proportional to 9,289.15, 13,921.57 and 8,051.47 is: 12,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.15 : 13,921.57 = 8,051.47 : x
  2. Step 2: Convert to fraction form
    9,289.15/13,921.57 = 8,051.47/x
  3. Step 3: Cross multiply
    9,289.15x = 13,921.57 × 8,051.47
  4. Step 4: Simplify right side
    9,289.15x = 112,088,993.34
  5. Step 5: Solve for x
    x = 112,088,993.34/9,289.15
  6. Step 6: Final answer
    x = 12,066.66

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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.