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Finding the Fourth Proportional to 8,923.32, 12,320.10 and 8,365.77

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Solution

The fourth proportional to 8,923.32, 12,320.10 and 8,365.77 is: 11,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.32 : 12,320.10 = 8,365.77 : x
  2. Step 2: Convert to fraction form
    8,923.32/12,320.10 = 8,365.77/x
  3. Step 3: Cross multiply
    8,923.32x = 12,320.10 × 8,365.77
  4. Step 4: Simplify right side
    8,923.32x = 103,067,122.98
  5. Step 5: Solve for x
    x = 103,067,122.98/8,923.32
  6. Step 6: Final answer
    x = 11,550.31

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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.