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Finding the Fourth Proportional to 6,258.40, 9,387.26 and 1,578.40

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Solution

The fourth proportional to 6,258.40, 9,387.26 and 1,578.40 is: 2,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.40 : 9,387.26 = 1,578.40 : x
  2. Step 2: Convert to fraction form
    6,258.40/9,387.26 = 1,578.40/x
  3. Step 3: Cross multiply
    6,258.40x = 9,387.26 × 1,578.40
  4. Step 4: Simplify right side
    6,258.40x = 14,816,851.18
  5. Step 5: Solve for x
    x = 14,816,851.18/6,258.40
  6. Step 6: Final answer
    x = 2,367.51

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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.