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Finding the Fourth Proportional to 5,101.57, 7,652.39 and 1,404.19

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Solution

The fourth proportional to 5,101.57, 7,652.39 and 1,404.19 is: 2,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.57 : 7,652.39 = 1,404.19 : x
  2. Step 2: Convert to fraction form
    5,101.57/7,652.39 = 1,404.19/x
  3. Step 3: Cross multiply
    5,101.57x = 7,652.39 × 1,404.19
  4. Step 4: Simplify right side
    5,101.57x = 10,745,409.51
  5. Step 5: Solve for x
    x = 10,745,409.51/5,101.57
  6. Step 6: Final answer
    x = 2,106.29

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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.