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Finding the Fourth Proportional to 13,238.10, 19,850.74 and 7,693.04

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Solution

The fourth proportional to 13,238.10, 19,850.74 and 7,693.04 is: 11,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.10 : 19,850.74 = 7,693.04 : x
  2. Step 2: Convert to fraction form
    13,238.10/19,850.74 = 7,693.04/x
  3. Step 3: Cross multiply
    13,238.10x = 19,850.74 × 7,693.04
  4. Step 4: Simplify right side
    13,238.10x = 152,712,567.24
  5. Step 5: Solve for x
    x = 152,712,567.24/13,238.10
  6. Step 6: Final answer
    x = 11,535.84

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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.