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Finding the Fourth Proportional to 10,821.16, 14,910.90 and 8,303.16

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Solution

The fourth proportional to 10,821.16, 14,910.90 and 8,303.16 is: 11,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.16 : 14,910.90 = 8,303.16 : x
  2. Step 2: Convert to fraction form
    10,821.16/14,910.90 = 8,303.16/x
  3. Step 3: Cross multiply
    10,821.16x = 14,910.90 × 8,303.16
  4. Step 4: Simplify right side
    10,821.16x = 123,807,588.44
  5. Step 5: Solve for x
    x = 123,807,588.44/10,821.16
  6. Step 6: Final answer
    x = 11,441.25

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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.