Home / 5,057.16-7,585.76-1,977

Finding the Fourth Proportional to 5,057.16, 7,585.76 and 1,977

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Solution

The fourth proportional to 5,057.16, 7,585.76 and 1,977 is: 2,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.16 : 7,585.76 = 1,977 : x
  2. Step 2: Convert to fraction form
    5,057.16/7,585.76 = 1,977/x
  3. Step 3: Cross multiply
    5,057.16x = 7,585.76 × 1,977
  4. Step 4: Simplify right side
    5,057.16x = 14,997,047.52
  5. Step 5: Solve for x
    x = 14,997,047.52/5,057.16
  6. Step 6: Final answer
    x = 2,965.51

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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.