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Finding the Fourth Proportional to 7,144.40, 9,858.51 and 5,815.80

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Solution

The fourth proportional to 7,144.40, 9,858.51 and 5,815.80 is: 8,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.40 : 9,858.51 = 5,815.80 : x
  2. Step 2: Convert to fraction form
    7,144.40/9,858.51 = 5,815.80/x
  3. Step 3: Cross multiply
    7,144.40x = 9,858.51 × 5,815.80
  4. Step 4: Simplify right side
    7,144.40x = 57,335,122.46
  5. Step 5: Solve for x
    x = 57,335,122.46/7,144.40
  6. Step 6: Final answer
    x = 8,025.18

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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.