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Finding the Fourth Proportional to 15,438.42, 21,304.88 and 8,364.82

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Solution

The fourth proportional to 15,438.42, 21,304.88 and 8,364.82 is: 11,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.42 : 21,304.88 = 8,364.82 : x
  2. Step 2: Convert to fraction form
    15,438.42/21,304.88 = 8,364.82/x
  3. Step 3: Cross multiply
    15,438.42x = 21,304.88 × 8,364.82
  4. Step 4: Simplify right side
    15,438.42x = 178,211,486.32
  5. Step 5: Solve for x
    x = 178,211,486.32/15,438.42
  6. Step 6: Final answer
    x = 11,543.38

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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.