Home / 1,506.13-2,078.12-946.71

Finding the Fourth Proportional to 1,506.13, 2,078.12 and 946.71

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Solution

The fourth proportional to 1,506.13, 2,078.12 and 946.71 is: 1,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.13 : 2,078.12 = 946.71 : x
  2. Step 2: Convert to fraction form
    1,506.13/2,078.12 = 946.71/x
  3. Step 3: Cross multiply
    1,506.13x = 2,078.12 × 946.71
  4. Step 4: Simplify right side
    1,506.13x = 1,967,379.35
  5. Step 5: Solve for x
    x = 1,967,379.35/1,506.13
  6. Step 6: Final answer
    x = 1,306.25

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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.