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Finding the Fourth Proportional to 13,627.68, 18,806.38 and 7,658.99

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Solution

The fourth proportional to 13,627.68, 18,806.38 and 7,658.99 is: 10,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.68 : 18,806.38 = 7,658.99 : x
  2. Step 2: Convert to fraction form
    13,627.68/18,806.38 = 7,658.99/x
  3. Step 3: Cross multiply
    13,627.68x = 18,806.38 × 7,658.99
  4. Step 4: Simplify right side
    13,627.68x = 144,037,838.06
  5. Step 5: Solve for x
    x = 144,037,838.06/13,627.68
  6. Step 6: Final answer
    x = 10,569.51

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1.5x scale

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.