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Finding the Fourth Proportional to 3,506.47, 5,258.80 and 1,040.71

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Solution

The fourth proportional to 3,506.47, 5,258.80 and 1,040.71 is: 1,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.47 : 5,258.80 = 1,040.71 : x
  2. Step 2: Convert to fraction form
    3,506.47/5,258.80 = 1,040.71/x
  3. Step 3: Cross multiply
    3,506.47x = 5,258.80 × 1,040.71
  4. Step 4: Simplify right side
    3,506.47x = 5,472,880.54
  5. Step 5: Solve for x
    x = 5,472,880.54/3,506.47
  6. Step 6: Final answer
    x = 1,560.79

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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.