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Finding the Fourth Proportional to 5,107.89, 7,661.84 and 1,410.16

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Solution

The fourth proportional to 5,107.89, 7,661.84 and 1,410.16 is: 2,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.89 : 7,661.84 = 1,410.16 : x
  2. Step 2: Convert to fraction form
    5,107.89/7,661.84 = 1,410.16/x
  3. Step 3: Cross multiply
    5,107.89x = 7,661.84 × 1,410.16
  4. Step 4: Simplify right side
    5,107.89x = 10,804,420.29
  5. Step 5: Solve for x
    x = 10,804,420.29/5,107.89
  6. Step 6: Final answer
    x = 2,115.24

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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.