Home / 13,857-19,122.66-7,569.38

Finding the Fourth Proportional to 13,857, 19,122.66 and 7,569.38

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Solution

The fourth proportional to 13,857, 19,122.66 and 7,569.38 is: 10,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 19,122.66 = 7,569.38 : x
  2. Step 2: Convert to fraction form
    13,857/19,122.66 = 7,569.38/x
  3. Step 3: Cross multiply
    13,857x = 19,122.66 × 7,569.38
  4. Step 4: Simplify right side
    13,857x = 144,746,680.15
  5. Step 5: Solve for x
    x = 144,746,680.15/13,857
  6. Step 6: Final answer
    x = 10,445.74

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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.