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Finding the Fourth Proportional to 15,438.42, 21,305.42 and 9,466.65

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Solution

The fourth proportional to 15,438.42, 21,305.42 and 9,466.65 is: 13,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.42 : 21,305.42 = 9,466.65 : x
  2. Step 2: Convert to fraction form
    15,438.42/21,305.42 = 9,466.65/x
  3. Step 3: Cross multiply
    15,438.42x = 21,305.42 × 9,466.65
  4. Step 4: Simplify right side
    15,438.42x = 201,690,954.24
  5. Step 5: Solve for x
    x = 201,690,954.24/15,438.42
  6. Step 6: Final answer
    x = 13,064.22

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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.