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Finding the Fourth Proportional to 6,258.40, 9,389.40 and 1,876.20

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Solution

The fourth proportional to 6,258.40, 9,389.40 and 1,876.20 is: 2,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.40 : 9,389.40 = 1,876.20 : x
  2. Step 2: Convert to fraction form
    6,258.40/9,389.40 = 1,876.20/x
  3. Step 3: Cross multiply
    6,258.40x = 9,389.40 × 1,876.20
  4. Step 4: Simplify right side
    6,258.40x = 17,616,392.28
  5. Step 5: Solve for x
    x = 17,616,392.28/6,258.40
  6. Step 6: Final answer
    x = 2,814.84

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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.