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Finding the Fourth Proportional to 15,535, 21,438.42 and 9,247

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Solution

The fourth proportional to 15,535, 21,438.42 and 9,247 is: 12,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535 : 21,438.42 = 9,247 : x
  2. Step 2: Convert to fraction form
    15,535/21,438.42 = 9,247/x
  3. Step 3: Cross multiply
    15,535x = 21,438.42 × 9,247
  4. Step 4: Simplify right side
    15,535x = 198,241,069.74
  5. Step 5: Solve for x
    x = 198,241,069.74/15,535
  6. Step 6: Final answer
    x = 12,760.93

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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.