Home / 13,826-19,080.18-7,538.40

Finding the Fourth Proportional to 13,826, 19,080.18 and 7,538.40

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Solution

The fourth proportional to 13,826, 19,080.18 and 7,538.40 is: 10,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826 : 19,080.18 = 7,538.40 : x
  2. Step 2: Convert to fraction form
    13,826/19,080.18 = 7,538.40/x
  3. Step 3: Cross multiply
    13,826x = 19,080.18 × 7,538.40
  4. Step 4: Simplify right side
    13,826x = 143,834,028.91
  5. Step 5: Solve for x
    x = 143,834,028.91/13,826
  6. Step 6: Final answer
    x = 10,403.16

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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.