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Finding the Fourth Proportional to 7,072.40, 9,765.81 and 5,899.62

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Solution

The fourth proportional to 7,072.40, 9,765.81 and 5,899.62 is: 8,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.40 : 9,765.81 = 5,899.62 : x
  2. Step 2: Convert to fraction form
    7,072.40/9,765.81 = 5,899.62/x
  3. Step 3: Cross multiply
    7,072.40x = 9,765.81 × 5,899.62
  4. Step 4: Simplify right side
    7,072.40x = 57,614,567.99
  5. Step 5: Solve for x
    x = 57,614,567.99/7,072.40
  6. Step 6: Final answer
    x = 8,146.40

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Double scale
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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.