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Finding the Fourth Proportional to 2,610.09, 3,602.09 and 1,431.16

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Solution

The fourth proportional to 2,610.09, 3,602.09 and 1,431.16 is: 1,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.09 : 3,602.09 = 1,431.16 : x
  2. Step 2: Convert to fraction form
    2,610.09/3,602.09 = 1,431.16/x
  3. Step 3: Cross multiply
    2,610.09x = 3,602.09 × 1,431.16
  4. Step 4: Simplify right side
    2,610.09x = 5,155,165.24
  5. Step 5: Solve for x
    x = 5,155,165.24/2,610.09
  6. Step 6: Final answer
    x = 1,975.09

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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.