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Finding the Fourth Proportional to 1,630, 2,250.12 and 1,071.28

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Solution

The fourth proportional to 1,630, 2,250.12 and 1,071.28 is: 1,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630 : 2,250.12 = 1,071.28 : x
  2. Step 2: Convert to fraction form
    1,630/2,250.12 = 1,071.28/x
  3. Step 3: Cross multiply
    1,630x = 2,250.12 × 1,071.28
  4. Step 4: Simplify right side
    1,630x = 2,410,508.55
  5. Step 5: Solve for x
    x = 2,410,508.55/1,630
  6. Step 6: Final answer
    x = 1,478.84

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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.