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Finding the Fourth Proportional to 1,808.13, 2,495.22 and 980.13

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Solution

The fourth proportional to 1,808.13, 2,495.22 and 980.13 is: 1,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.13 : 2,495.22 = 980.13 : x
  2. Step 2: Convert to fraction form
    1,808.13/2,495.22 = 980.13/x
  3. Step 3: Cross multiply
    1,808.13x = 2,495.22 × 980.13
  4. Step 4: Simplify right side
    1,808.13x = 2,445,639.98
  5. Step 5: Solve for x
    x = 2,445,639.98/1,808.13
  6. Step 6: Final answer
    x = 1,352.58

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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.