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Finding the Fourth Proportional to 7,874.28, 10,864.80 and 5,985.36

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Solution

The fourth proportional to 7,874.28, 10,864.80 and 5,985.36 is: 8,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.28 : 10,864.80 = 5,985.36 : x
  2. Step 2: Convert to fraction form
    7,874.28/10,864.80 = 5,985.36/x
  3. Step 3: Cross multiply
    7,874.28x = 10,864.80 × 5,985.36
  4. Step 4: Simplify right side
    7,874.28x = 65,029,739.33
  5. Step 5: Solve for x
    x = 65,029,739.33/7,874.28
  6. Step 6: Final answer
    x = 8,258.50

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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.