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Finding the Fourth Proportional to 7,257.94, 10,866.25 and 4,785.21

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Solution

The fourth proportional to 7,257.94, 10,866.25 and 4,785.21 is: 7,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.94 : 10,866.25 = 4,785.21 : x
  2. Step 2: Convert to fraction form
    7,257.94/10,866.25 = 4,785.21/x
  3. Step 3: Cross multiply
    7,257.94x = 10,866.25 × 4,785.21
  4. Step 4: Simplify right side
    7,257.94x = 51,997,294.14
  5. Step 5: Solve for x
    x = 51,997,294.14/7,257.94
  6. Step 6: Final answer
    x = 7,164.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.