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Finding the Fourth Proportional to 7,415.80, 10,233.80 and 4,271.99

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Solution

The fourth proportional to 7,415.80, 10,233.80 and 4,271.99 is: 5,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.80 : 10,233.80 = 4,271.99 : x
  2. Step 2: Convert to fraction form
    7,415.80/10,233.80 = 4,271.99/x
  3. Step 3: Cross multiply
    7,415.80x = 10,233.80 × 4,271.99
  4. Step 4: Simplify right side
    7,415.80x = 43,718,640.09
  5. Step 5: Solve for x
    x = 43,718,640.09/7,415.80
  6. Step 6: Final answer
    x = 5,895.34

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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.