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Finding the Fourth Proportional to 1,620.10, 2,234.99 and 1,030.22

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Solution

The fourth proportional to 1,620.10, 2,234.99 and 1,030.22 is: 1,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.10 : 2,234.99 = 1,030.22 : x
  2. Step 2: Convert to fraction form
    1,620.10/2,234.99 = 1,030.22/x
  3. Step 3: Cross multiply
    1,620.10x = 2,234.99 × 1,030.22
  4. Step 4: Simplify right side
    1,620.10x = 2,302,531.18
  5. Step 5: Solve for x
    x = 2,302,531.18/1,620.10
  6. Step 6: Final answer
    x = 1,421.23

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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.