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Finding the Fourth Proportional to 4,139.48, 6,209.29 and 1,019.49

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Solution

The fourth proportional to 4,139.48, 6,209.29 and 1,019.49 is: 1,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.48 : 6,209.29 = 1,019.49 : x
  2. Step 2: Convert to fraction form
    4,139.48/6,209.29 = 1,019.49/x
  3. Step 3: Cross multiply
    4,139.48x = 6,209.29 × 1,019.49
  4. Step 4: Simplify right side
    4,139.48x = 6,330,306.51
  5. Step 5: Solve for x
    x = 6,330,306.51/4,139.48
  6. Step 6: Final answer
    x = 1,529.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.