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Finding the Fourth Proportional to 13,260, 18,300 and 7,596.57

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Solution

The fourth proportional to 13,260, 18,300 and 7,596.57 is: 10,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260 : 18,300 = 7,596.57 : x
  2. Step 2: Convert to fraction form
    13,260/18,300 = 7,596.57/x
  3. Step 3: Cross multiply
    13,260x = 18,300 × 7,596.57
  4. Step 4: Simplify right side
    13,260x = 139,017,231
  5. Step 5: Solve for x
    x = 139,017,231/13,260
  6. Step 6: Final answer
    x = 10,483.95

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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.