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Finding the Fourth Proportional to 7,258.09, 10,017.09 and 4,274.20

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Solution

The fourth proportional to 7,258.09, 10,017.09 and 4,274.20 is: 5,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.09 : 10,017.09 = 4,274.20 : x
  2. Step 2: Convert to fraction form
    7,258.09/10,017.09 = 4,274.20/x
  3. Step 3: Cross multiply
    7,258.09x = 10,017.09 × 4,274.20
  4. Step 4: Simplify right side
    7,258.09x = 42,815,046.08
  5. Step 5: Solve for x
    x = 42,815,046.08/7,258.09
  6. Step 6: Final answer
    x = 5,898.94

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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.