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Finding the Fourth Proportional to 13,409.99, 18,505.99 and 7,442.05

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Solution

The fourth proportional to 13,409.99, 18,505.99 and 7,442.05 is: 10,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.99 : 18,505.99 = 7,442.05 : x
  2. Step 2: Convert to fraction form
    13,409.99/18,505.99 = 7,442.05/x
  3. Step 3: Cross multiply
    13,409.99x = 18,505.99 × 7,442.05
  4. Step 4: Simplify right side
    13,409.99x = 137,722,373.14
  5. Step 5: Solve for x
    x = 137,722,373.14/13,409.99
  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.