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Finding the Fourth Proportional to 8,312.86, 11,384.39 and 8,203.51

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Solution

The fourth proportional to 8,312.86, 11,384.39 and 8,203.51 is: 11,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.86 : 11,384.39 = 8,203.51 : x
  2. Step 2: Convert to fraction form
    8,312.86/11,384.39 = 8,203.51/x
  3. Step 3: Cross multiply
    8,312.86x = 11,384.39 × 8,203.51
  4. Step 4: Simplify right side
    8,312.86x = 93,391,957.21
  5. Step 5: Solve for x
    x = 93,391,957.21/8,312.86
  6. Step 6: Final answer
    x = 11,234.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.