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Finding the Fourth Proportional to 5,101.34, 7,651.12 and 1,402.68

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Solution

The fourth proportional to 5,101.34, 7,651.12 and 1,402.68 is: 2,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.34 : 7,651.12 = 1,402.68 : x
  2. Step 2: Convert to fraction form
    5,101.34/7,651.12 = 1,402.68/x
  3. Step 3: Cross multiply
    5,101.34x = 7,651.12 × 1,402.68
  4. Step 4: Simplify right side
    5,101.34x = 10,732,069.49
  5. Step 5: Solve for x
    x = 10,732,069.49/5,101.34
  6. Step 6: Final answer
    x = 2,103.77

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1.5x scale

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.