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Finding the Fourth Proportional to 13,807.99, 19,057.50 and 8,142.40

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Solution

The fourth proportional to 13,807.99, 19,057.50 and 8,142.40 is: 11,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.99 : 19,057.50 = 8,142.40 : x
  2. Step 2: Convert to fraction form
    13,807.99/19,057.50 = 8,142.40/x
  3. Step 3: Cross multiply
    13,807.99x = 19,057.50 × 8,142.40
  4. Step 4: Simplify right side
    13,807.99x = 155,173,781.12
  5. Step 5: Solve for x
    x = 155,173,781.12/13,807.99
  6. Step 6: Final answer
    x = 11,237.97

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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.