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Finding the Fourth Proportional to 8,210.88, 12,313.80 and 4,313.16

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Solution

The fourth proportional to 8,210.88, 12,313.80 and 4,313.16 is: 6,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.88 : 12,313.80 = 4,313.16 : x
  2. Step 2: Convert to fraction form
    8,210.88/12,313.80 = 4,313.16/x
  3. Step 3: Cross multiply
    8,210.88x = 12,313.80 × 4,313.16
  4. Step 4: Simplify right side
    8,210.88x = 53,111,389.61
  5. Step 5: Solve for x
    x = 53,111,389.61/8,210.88
  6. Step 6: Final answer
    x = 6,468.42

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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.