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Finding the Fourth Proportional to 8,574.86, 11,835.32 and 7,156.96

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Solution

The fourth proportional to 8,574.86, 11,835.32 and 7,156.96 is: 9,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.86 : 11,835.32 = 7,156.96 : x
  2. Step 2: Convert to fraction form
    8,574.86/11,835.32 = 7,156.96/x
  3. Step 3: Cross multiply
    8,574.86x = 11,835.32 × 7,156.96
  4. Step 4: Simplify right side
    8,574.86x = 84,704,846.45
  5. Step 5: Solve for x
    x = 84,704,846.45/8,574.86
  6. Step 6: Final answer
    x = 9,878.27

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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.