Home / 1,421.84-1,965.30-1,031.60

Finding the Fourth Proportional to 1,421.84, 1,965.30 and 1,031.60

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Solution

The fourth proportional to 1,421.84, 1,965.30 and 1,031.60 is: 1,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.84 : 1,965.30 = 1,031.60 : x
  2. Step 2: Convert to fraction form
    1,421.84/1,965.30 = 1,031.60/x
  3. Step 3: Cross multiply
    1,421.84x = 1,965.30 × 1,031.60
  4. Step 4: Simplify right side
    1,421.84x = 2,027,403.48
  5. Step 5: Solve for x
    x = 2,027,403.48/1,421.84
  6. Step 6: Final answer
    x = 1,425.90

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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.