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Finding the Fourth Proportional to 25,815.64, 38,728.50 and 8,284.12

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Solution

The fourth proportional to 25,815.64, 38,728.50 and 8,284.12 is: 12,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815.64 : 38,728.50 = 8,284.12 : x
  2. Step 2: Convert to fraction form
    25,815.64/38,728.50 = 8,284.12/x
  3. Step 3: Cross multiply
    25,815.64x = 38,728.50 × 8,284.12
  4. Step 4: Simplify right side
    25,815.64x = 320,831,541.42
  5. Step 5: Solve for x
    x = 320,831,541.42/25,815.64
  6. Step 6: Final answer
    x = 12,427.80

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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.