Home / 1,537.25-2,120.81-946.76

Finding the Fourth Proportional to 1,537.25, 2,120.81 and 946.76

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Solution

The fourth proportional to 1,537.25, 2,120.81 and 946.76 is: 1,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.25 : 2,120.81 = 946.76 : x
  2. Step 2: Convert to fraction form
    1,537.25/2,120.81 = 946.76/x
  3. Step 3: Cross multiply
    1,537.25x = 2,120.81 × 946.76
  4. Step 4: Simplify right side
    1,537.25x = 2,007,898.08
  5. Step 5: Solve for x
    x = 2,007,898.08/1,537.25
  6. Step 6: Final answer
    x = 1,306.16

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Half scale
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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.