Home / 1,770.67-2,652.36-1,422.10

Finding the Fourth Proportional to 1,770.67, 2,652.36 and 1,422.10

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Solution

The fourth proportional to 1,770.67, 2,652.36 and 1,422.10 is: 2,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.67 : 2,652.36 = 1,422.10 : x
  2. Step 2: Convert to fraction form
    1,770.67/2,652.36 = 1,422.10/x
  3. Step 3: Cross multiply
    1,770.67x = 2,652.36 × 1,422.10
  4. Step 4: Simplify right side
    1,770.67x = 3,771,921.16
  5. Step 5: Solve for x
    x = 3,771,921.16/1,770.67
  6. Step 6: Final answer
    x = 2,130.22

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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.