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Finding the Fourth Proportional to 10,257.64, 15,386.46 and 7,976.68

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Solution

The fourth proportional to 10,257.64, 15,386.46 and 7,976.68 is: 11,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.64 : 15,386.46 = 7,976.68 : x
  2. Step 2: Convert to fraction form
    10,257.64/15,386.46 = 7,976.68/x
  3. Step 3: Cross multiply
    10,257.64x = 15,386.46 × 7,976.68
  4. Step 4: Simplify right side
    10,257.64x = 122,732,867.75
  5. Step 5: Solve for x
    x = 122,732,867.75/10,257.64
  6. Step 6: Final answer
    x = 11,965.02

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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.