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Finding the Fourth Proportional to 15,783.40, 23,700.70 and 11,431.40

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Solution

The fourth proportional to 15,783.40, 23,700.70 and 11,431.40 is: 17,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.40 : 23,700.70 = 11,431.40 : x
  2. Step 2: Convert to fraction form
    15,783.40/23,700.70 = 11,431.40/x
  3. Step 3: Cross multiply
    15,783.40x = 23,700.70 × 11,431.40
  4. Step 4: Simplify right side
    15,783.40x = 270,932,181.98
  5. Step 5: Solve for x
    x = 270,932,181.98/15,783.40
  6. Step 6: Final answer
    x = 17,165.64

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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.