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Finding the Fourth Proportional to 15,361.50, 23,047.68 and 7,575.78

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Solution

The fourth proportional to 15,361.50, 23,047.68 and 7,575.78 is: 11,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,361.50 : 23,047.68 = 7,575.78 : x
  2. Step 2: Convert to fraction form
    15,361.50/23,047.68 = 7,575.78/x
  3. Step 3: Cross multiply
    15,361.50x = 23,047.68 × 7,575.78
  4. Step 4: Simplify right side
    15,361.50x = 174,604,153.19
  5. Step 5: Solve for x
    x = 174,604,153.19/15,361.50
  6. Step 6: Final answer
    x = 11,366.35

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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.