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Finding the Fourth Proportional to 13,586.84, 18,751.76 and 7,538.43

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Solution

The fourth proportional to 13,586.84, 18,751.76 and 7,538.43 is: 10,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.84 : 18,751.76 = 7,538.43 : x
  2. Step 2: Convert to fraction form
    13,586.84/18,751.76 = 7,538.43/x
  3. Step 3: Cross multiply
    13,586.84x = 18,751.76 × 7,538.43
  4. Step 4: Simplify right side
    13,586.84x = 141,358,830.14
  5. Step 5: Solve for x
    x = 141,358,830.14/13,586.84
  6. Step 6: Final answer
    x = 10,404.10

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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.