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Finding the Fourth Proportional to 13,040.80, 17,993.52 and 7,737.32

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Solution

The fourth proportional to 13,040.80, 17,993.52 and 7,737.32 is: 10,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.80 : 17,993.52 = 7,737.32 : x
  2. Step 2: Convert to fraction form
    13,040.80/17,993.52 = 7,737.32/x
  3. Step 3: Cross multiply
    13,040.80x = 17,993.52 × 7,737.32
  4. Step 4: Simplify right side
    13,040.80x = 139,221,622.17
  5. Step 5: Solve for x
    x = 139,221,622.17/13,040.80
  6. Step 6: Final answer
    x = 10,675.85

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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.