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Finding the Fourth Proportional to 10,812.32, 14,914.24 and 8,290.32

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Solution

The fourth proportional to 10,812.32, 14,914.24 and 8,290.32 is: 11,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.32 : 14,914.24 = 8,290.32 : x
  2. Step 2: Convert to fraction form
    10,812.32/14,914.24 = 8,290.32/x
  3. Step 3: Cross multiply
    10,812.32x = 14,914.24 × 8,290.32
  4. Step 4: Simplify right side
    10,812.32x = 123,643,822.16
  5. Step 5: Solve for x
    x = 123,643,822.16/10,812.32
  6. Step 6: Final answer
    x = 11,435.46

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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.