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Finding the Fourth Proportional to 9,315, 13,972.50 and 3,474.36

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Solution

The fourth proportional to 9,315, 13,972.50 and 3,474.36 is: 5,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315 : 13,972.50 = 3,474.36 : x
  2. Step 2: Convert to fraction form
    9,315/13,972.50 = 3,474.36/x
  3. Step 3: Cross multiply
    9,315x = 13,972.50 × 3,474.36
  4. Step 4: Simplify right side
    9,315x = 48,545,495.10
  5. Step 5: Solve for x
    x = 48,545,495.10/9,315
  6. Step 6: Final answer
    x = 5,211.54

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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.