Home / 1,537.20-2,119.14-947.34

Finding the Fourth Proportional to 1,537.20, 2,119.14 and 947.34

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Solution

The fourth proportional to 1,537.20, 2,119.14 and 947.34 is: 1,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.20 : 2,119.14 = 947.34 : x
  2. Step 2: Convert to fraction form
    1,537.20/2,119.14 = 947.34/x
  3. Step 3: Cross multiply
    1,537.20x = 2,119.14 × 947.34
  4. Step 4: Simplify right side
    1,537.20x = 2,007,546.09
  5. Step 5: Solve for x
    x = 2,007,546.09/1,537.20
  6. Step 6: Final answer
    x = 1,305.98

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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.