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Finding the Fourth Proportional to 15,442, 21,309.94 and 8,368.42

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Solution

The fourth proportional to 15,442, 21,309.94 and 8,368.42 is: 11,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442 : 21,309.94 = 8,368.42 : x
  2. Step 2: Convert to fraction form
    15,442/21,309.94 = 8,368.42/x
  3. Step 3: Cross multiply
    15,442x = 21,309.94 × 8,368.42
  4. Step 4: Simplify right side
    15,442x = 178,330,528.09
  5. Step 5: Solve for x
    x = 178,330,528.09/15,442
  6. Step 6: Final answer
    x = 11,548.41

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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.