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Finding the Fourth Proportional to 25,938.64, 38,920.11 and 12,783.84

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Solution

The fourth proportional to 25,938.64, 38,920.11 and 12,783.84 is: 19,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,938.64 : 38,920.11 = 12,783.84 : x
  2. Step 2: Convert to fraction form
    25,938.64/38,920.11 = 12,783.84/x
  3. Step 3: Cross multiply
    25,938.64x = 38,920.11 × 12,783.84
  4. Step 4: Simplify right side
    25,938.64x = 497,548,459.02
  5. Step 5: Solve for x
    x = 497,548,459.02/25,938.64
  6. Step 6: Final answer
    x = 19,181.75

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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.