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Finding the Fourth Proportional to 9,136, 13,695.78 and 3,288.50

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Solution

The fourth proportional to 9,136, 13,695.78 and 3,288.50 is: 4,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136 : 13,695.78 = 3,288.50 : x
  2. Step 2: Convert to fraction form
    9,136/13,695.78 = 3,288.50/x
  3. Step 3: Cross multiply
    9,136x = 13,695.78 × 3,288.50
  4. Step 4: Simplify right side
    9,136x = 45,038,572.53
  5. Step 5: Solve for x
    x = 45,038,572.53/9,136
  6. Step 6: Final answer
    x = 4,929.79

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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.