Home / 1,576.24-2,174.96-913.12

Finding the Fourth Proportional to 1,576.24, 2,174.96 and 913.12

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Solution

The fourth proportional to 1,576.24, 2,174.96 and 913.12 is: 1,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.24 : 2,174.96 = 913.12 : x
  2. Step 2: Convert to fraction form
    1,576.24/2,174.96 = 913.12/x
  3. Step 3: Cross multiply
    1,576.24x = 2,174.96 × 913.12
  4. Step 4: Simplify right side
    1,576.24x = 1,985,999.48
  5. Step 5: Solve for x
    x = 1,985,999.48/1,576.24
  6. Step 6: Final answer
    x = 1,259.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.