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Finding the Fourth Proportional to 13,527, 20,290.50 and 7,604.28

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Solution

The fourth proportional to 13,527, 20,290.50 and 7,604.28 is: 11,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527 : 20,290.50 = 7,604.28 : x
  2. Step 2: Convert to fraction form
    13,527/20,290.50 = 7,604.28/x
  3. Step 3: Cross multiply
    13,527x = 20,290.50 × 7,604.28
  4. Step 4: Simplify right side
    13,527x = 154,294,643.34
  5. Step 5: Solve for x
    x = 154,294,643.34/13,527
  6. Step 6: Final answer
    x = 11,406.42

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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.