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Finding the Fourth Proportional to 9,205.31, 13,810.13 and 2,631.32

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Solution

The fourth proportional to 9,205.31, 13,810.13 and 2,631.32 is: 3,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.31 : 13,810.13 = 2,631.32 : x
  2. Step 2: Convert to fraction form
    9,205.31/13,810.13 = 2,631.32/x
  3. Step 3: Cross multiply
    9,205.31x = 13,810.13 × 2,631.32
  4. Step 4: Simplify right side
    9,205.31x = 36,338,871.27
  5. Step 5: Solve for x
    x = 36,338,871.27/9,205.31
  6. Step 6: Final answer
    x = 3,947.60

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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.