Home / 1,576.40-2,174.92-947.16

Finding the Fourth Proportional to 1,576.40, 2,174.92 and 947.16

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Solution

The fourth proportional to 1,576.40, 2,174.92 and 947.16 is: 1,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.40 : 2,174.92 = 947.16 : x
  2. Step 2: Convert to fraction form
    1,576.40/2,174.92 = 947.16/x
  3. Step 3: Cross multiply
    1,576.40x = 2,174.92 × 947.16
  4. Step 4: Simplify right side
    1,576.40x = 2,059,994.86
  5. Step 5: Solve for x
    x = 2,059,994.86/1,576.40
  6. Step 6: Final answer
    x = 1,306.78

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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.