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Finding the Fourth Proportional to 3,090.65, 4,636.69 and 899.38

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Solution

The fourth proportional to 3,090.65, 4,636.69 and 899.38 is: 1,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.65 : 4,636.69 = 899.38 : x
  2. Step 2: Convert to fraction form
    3,090.65/4,636.69 = 899.38/x
  3. Step 3: Cross multiply
    3,090.65x = 4,636.69 × 899.38
  4. Step 4: Simplify right side
    3,090.65x = 4,170,146.25
  5. Step 5: Solve for x
    x = 4,170,146.25/3,090.65
  6. Step 6: Final answer
    x = 1,349.28

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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.