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Finding the Fourth Proportional to 2,500.14, 3,750.21 and 1,513.20

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Solution

The fourth proportional to 2,500.14, 3,750.21 and 1,513.20 is: 2,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.14 : 3,750.21 = 1,513.20 : x
  2. Step 2: Convert to fraction form
    2,500.14/3,750.21 = 1,513.20/x
  3. Step 3: Cross multiply
    2,500.14x = 3,750.21 × 1,513.20
  4. Step 4: Simplify right side
    2,500.14x = 5,674,817.77
  5. Step 5: Solve for x
    x = 5,674,817.77/2,500.14
  6. Step 6: Final answer
    x = 2,269.80

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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.