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Finding the Fourth Proportional to 13,474.68, 18,595.29 and 7,506.78

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Solution

The fourth proportional to 13,474.68, 18,595.29 and 7,506.78 is: 10,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.68 : 18,595.29 = 7,506.78 : x
  2. Step 2: Convert to fraction form
    13,474.68/18,595.29 = 7,506.78/x
  3. Step 3: Cross multiply
    13,474.68x = 18,595.29 × 7,506.78
  4. Step 4: Simplify right side
    13,474.68x = 139,590,751.07
  5. Step 5: Solve for x
    x = 139,590,751.07/13,474.68
  6. Step 6: Final answer
    x = 10,359.49

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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.