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Finding the Fourth Proportional to 13,506.88, 18,639.54 and 7,538.44

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Solution

The fourth proportional to 13,506.88, 18,639.54 and 7,538.44 is: 10,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.88 : 18,639.54 = 7,538.44 : x
  2. Step 2: Convert to fraction form
    13,506.88/18,639.54 = 7,538.44/x
  3. Step 3: Cross multiply
    13,506.88x = 18,639.54 × 7,538.44
  4. Step 4: Simplify right side
    13,506.88x = 140,513,053.92
  5. Step 5: Solve for x
    x = 140,513,053.92/13,506.88
  6. Step 6: Final answer
    x = 10,403.07

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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.