Home / 1,306.63-1,962.68-1,101.60

Finding the Fourth Proportional to 1,306.63, 1,962.68 and 1,101.60

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Solution

The fourth proportional to 1,306.63, 1,962.68 and 1,101.60 is: 1,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.63 : 1,962.68 = 1,101.60 : x
  2. Step 2: Convert to fraction form
    1,306.63/1,962.68 = 1,101.60/x
  3. Step 3: Cross multiply
    1,306.63x = 1,962.68 × 1,101.60
  4. Step 4: Simplify right side
    1,306.63x = 2,162,088.98
  5. Step 5: Solve for x
    x = 2,162,088.98/1,306.63
  6. Step 6: Final answer
    x = 1,654.70

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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.