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Finding the Fourth Proportional to 13,409.40, 18,506.08 and 7,441.68

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Solution

The fourth proportional to 13,409.40, 18,506.08 and 7,441.68 is: 10,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.40 : 18,506.08 = 7,441.68 : x
  2. Step 2: Convert to fraction form
    13,409.40/18,506.08 = 7,441.68/x
  3. Step 3: Cross multiply
    13,409.40x = 18,506.08 × 7,441.68
  4. Step 4: Simplify right side
    13,409.40x = 137,716,325.41
  5. Step 5: Solve for x
    x = 137,716,325.41/13,409.40
  6. Step 6: Final answer
    x = 10,270.13

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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.