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Finding the Fourth Proportional to 13,826, 19,079.24 and 7,538.32

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Solution

The fourth proportional to 13,826, 19,079.24 and 7,538.32 is: 10,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826 : 19,079.24 = 7,538.32 : x
  2. Step 2: Convert to fraction form
    13,826/19,079.24 = 7,538.32/x
  3. Step 3: Cross multiply
    13,826x = 19,079.24 × 7,538.32
  4. Step 4: Simplify right side
    13,826x = 143,825,416.48
  5. Step 5: Solve for x
    x = 143,825,416.48/13,826
  6. Step 6: Final answer
    x = 10,402.53

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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.